View source for Unique prime

{{Infobox integer sequence
| terms_number       = 102
| con_number         = Infinite
| first_terms        = 3, [[11 (number)|11]], [[37 (number)|37]], [[101 (number)|101]]
| largest_known_term = (10<sup>270343</sup>-1)/9
| OEIS               = A040017
| OEIS_name          = Unique period primes (no other prime has same period as 1/p) in order (periods are given in A051627)
}}

In recreational [[Number theory|number theory]], a '''unique prime''' or '''unique period prime''' is a certain kind of [[Prime number|prime number]]. A prime ''p'' ≠ 2, 5 is called '''unique''' if there is no other prime ''q'' such that the [[Repeating decimal#Fractions with prime denominators|period length]] of the decimal expansion of its reciprocal, 1 / ''p'', is equal to the period length of the reciprocal of ''q'', 1 / ''q''.<ref>{{cite web|last=Caldwell|first=Chris|title=Unique prime|url=http://primes.utm.edu/glossary/xpage/UniquePrime.html|work=The [[Prime Pages]]|access-date=11 April 2014}}</ref>  For example, 3 is the only prime with period 1, 11 is the only prime with period 2, 37 is the only prime with period 3, 101 is the only prime with period 4, so they are unique primes. In contrast, 41 and 271 both have period 5; 7 and 13 both have period 6; 239 and 4649 both have period 7; 73 and 137 both have period 8; 21649 and 513239 both have period 11; 53, 79 and 265371653 all have period 13; 31 and 2906161 both have period 15; 17 and 5882353 both have period 16; 2071723 and 5363222357 both have period 17; 19 and 52579 both have period 18; 3541 and 27961 both have period 20. Therefore, none of these is a unique prime. Unique primes were first described by [[Biography:Samuel Yates|Samuel Yates]] in 1980.

The above definition is related to the [[Decimal|decimal]] representation of [[Integer|integer]]s. Unique primes may be defined and have been studied in any numeral base.

==Period of a prime in base ''b''==
The representation of the [[Multiplicative inverse|reciprocal]] of a [[Prime number|prime number]] (or, more generally, an [[Integer|integer]]) {{mvar|p}} in the numeral base {{mvar|b}} is [[Periodic function|periodic]] of period {{mvar|n}}  if 
:<math>\frac{1}{p}=\sum_{i=1}^\infty \frac{q}{(b^n)^i},</math>
where  {{mvar|q}} is a positive integer smaller than <math>b^n.</math> According to the summation formula of [[Geometric series|geometric series]], this may be rewritten as 
:<math>\frac{1}{p}=\frac{q}{b^n-1}.</math>
In other words, {{mvar|n}} is a period of the representation of {{math|1/''p''}} if and only if {{mvar|p}} is a divisor of <math>b^n-1.</math>
[[Euler's theorem]] asserts that, if an integer {{mvar|b}} is coprime with {{mvar|p}}, then {{mvar|p}} is a divisor of <math>p^{\varphi(n)}-1</math> where <math>\varphi</math> is [[Euler's totient function]]. This proves that, for every integer {{mvar|p}} coprime with {{mvar|b}}, the representation of the reciprocal of {{mvar|p}} is periodic in base {{mvar|b}}.

All the periods of a periodic function are [[Multiple (mathematics)|multiples]] of a shortest period generally called the fundamental period. In this article, we call '''period''' of {{mvar|p}} in base {{mvar|b}} the shortest period of the representation of {{math|1/''p''}} in base {{mvar|b}}. Therefore, the period of {{mvar|p}} in base {{mvar|b}} is the smallest positive integer {{mvar|n}} such that that {{mvar|p}} is a divisor of 
<math>b^n-1.</math>
In other words, the period of a prime {{mvar|p}} in base {{mvar|b}} is the [[Multiplicative order|multiplicative order]] of {{mvar|b}} modulo {{mvar|p}}.

According to [[Zsigmondy's theorem]], every positive integer is a period of some prime in base {{mvar|b}} except in the following cases:
*{{math|1=''b'' = 2}} and {{math|1=''n'' = 1}} or {{math|6}}
*{{math|1=''n'' = 2}} and {{math|1=''b''= 2<sup>''k''</sup> − 1}} for some integer {{math|''k'' > 1}}

As
:<math>x^n-1=\prod_{i\mid n} \Phi_n(x),</math>
where <math>\Phi_n</math> is the {{mvar|n}}th [[Cyclotomic polynomial|cyclotomic polynomial]], the primes of period {{mvar|n}} in base {{mvar|b}} are prime divisors of <math>\Phi_n(b).</math> More precisely, the primes of period {{mvar|n}} are exactly the prime divisors of <math>\Phi_n(b)</math> that do not divide {{mvar|n}} (see below for a proof of this result and of the following ones).

If {{mvar|b}} is even (this includes the binary and the decimal cases), the prime divisors of <math>\Phi_n(b)</math> that do not divide {{mvar|n}} are exactly the prime divisors of{{cn|date=October 2016}}
:<math>R_n(b)=\frac{\Phi_n(b)}{\gcd(\Phi_n(b),n)}.</math>
This is wrong if {{mvar|b}} is odd: if  {{math|1= ''n'' = 2}} and  {{math|1=''b'' = 4''k'' − 1}}, where {{mvar|k}} is a positive integer, then
: <math>R_2(b)=\frac{\Phi_2(b)}{\gcd(\Phi_2(b), 2)} = \frac{b+1}{2} = 2k, </math>
although 2 divides both {{math|1=''n'' = 2}} and <math>\Phi_n(b).</math> 

If {{mvar|b}} is odd, the primes of period {{mvar|n}} are exactly, if {{math|1=''n'' = 1}}, the prime divisors of <math>R_1(b) = b-1</math>, or, if {{math|''n'' > 1}}, the odd prime divisors of {{math|''R''<sub>''n''</sub>(''b'')}}.

{{cot|title=Sketch of the proof of the characterization of primes of period  {{mvar|n}}}}
As the period of every prime {{mvar|p}} divides {{math|''p'' – 1}} ([[Fermat's little theorem]]), if {{mvar|p}} divides {{mvar|n}}, then its period is smaller than {{mvar|n}}. Conversely, if {{mvar|p}} divides <math>\Phi_n(b)</math> and has a period {{mvar|k}} smaller than {{mvar|n}}, then it is a common divisor of <math>\Phi_n(b)</math> and <math>\Phi_k(b).</math> As the [[Resultant|resultant]] of two polynomials is a linear combination of these polynomials, {{mvar|p}} divides the resultant of <math>\Phi_n(x)</math> and <math>\Phi_k(x).</math> As these two polynomials are coprime and divide <math>x^n-1,</math> {{mvar|p}} divides also the [[Discriminant|discriminant]] <math>n^n</math> of <math>x^n-1.</math> Thus, a prime divisor of <math>\Phi_n(b)</math>, that has a period smaller than {{mvar|n}}, is also a divisor of {{mvar|n}}.

Now, we have to prove that, if a prime {{math|''p'' > 2}} divides {{mvar|n}} and <math>\Phi_n(b),</math> then it does not divide <math>\Phi_n(b)/p.</math> In fact, this implies immediately that  {{mvar|p}}  does not divide <math>\Phi_n(b)/\gcd(\Phi_n(b),n).</math> If {{mvar|b}} is even, 2 cannot divide <math>\Phi_n(b),</math> (which is odd), and the condition {{math|''p'' > 2}} is not restrictive.

Thus, let {{math|1=''n'' = ''pm''}}. It suffices to prove that <math>p^2</math> does not divides {{math|''S''(''b'')}} for some polynomial {{math|''S''(''x'')}}, which is a multiple of <math>\Phi_n(x).</math> We take
:<math>S(x)=\frac{x^n-1}{x^m-1} = 1 + x^m + x^{2m} + \cdots + x^{(p-1)m}.</math>

By [[Fermat's little theorem]], we have <math>b^{p-1}\equiv 1 \pmod p.</math> As {{mvar|p}} divides <math>\Phi_n(b)</math>, we have also <math>b^{n}\equiv 1 \pmod p.</math> Thus the multiplicative order of {{mvar|b}} modulo {{mvar|p}} divides {{math|gcd(''n'', ''p'' − 1)}}, which is a divisor of {{math|1=''m'' = ''n''/''p''}}. Thus  {{math|1=''c'' = ''b<sup>m</sup>'' − 1}} is a multiple of {{mvar|p}}. Now, 
:<math>S(b) = \frac{(1+c)^p-1}{c} = p+ \binom{p}{2}c + \cdots + \binom{p}{p}c^{p-1}.</math>
As {{mvar|p}} is prime and greater than 2, all the terms but the first one are multiple of <math>p^2.</math> This proves that <math>p^2</math> does not divides <math>\Phi_n(b).</math>
{{cob}}

A prime {{mvar|p}} is a '''unique prime''' in base {{mvar|b}}, if and only if, for some {{mvar|n}}, it is the unique prime divisor of <math>\Phi_n(b)</math> that does not divide {{mvar|n}}. If {{mvar|b}} is even (which includes the binary and the decimal cases) this means that 
:<math>R_n(b)=\frac{\Phi_n(b)}{\gcd(\Phi_n(b),n)} = p^c.</math>
for some positive integer {{mvar|c}} .

If {{mvar|b}} is odd, this means that  
:<math>R_n(b)=\frac{\Phi_n(b)}{\gcd(\Phi_n(b),n)} =p^c 2^d.</math>
for some integers {{math|''c'' > 0}} and {{math|''d'' ≥ 0}}. This provides an efficient method for computing the unique primes and the primes of a given period.

Note that a prime divisor of {{mvar|b}} is coprime with <math>b^n-1</math>, and thus also with its divisor <math>\Phi_n(b).</math> Such a prime has no period length, as the representation in base {{mvar|b}} of its reciprocal is finite instead of being periodic. Thus, such a prime is never considered as a unique prime, even if it is the unique prime that has a finite reciprocal in base {{mvar|b}}. For example, 2 is not considered as a unique prime in binary, although it is the only prime with finite reciprocal in binary.

There are four situations of unique prime in base {{mvar|b}}:

# <math>\Phi_n(b)=p</math> and {{mvar|p}} is prime.
# <math>\frac{\Phi_n(b)}{\gcd(\Phi_n(b),n)}=p</math> and {{mvar|p}} is prime and <math>\gcd(\Phi_n(b),n)>1</math>.
# <math>\Phi_n(b)=p^c</math> and {{mvar|p}} is prime and <math>c>1</math>.
# <math>\frac{\Phi_n(b)}{\gcd(\Phi_n(b),n)}=p^c</math> and {{mvar|p}} is prime and <math>\gcd(\Phi_n(b),n)>1</math> and <math>c>1</math>.

Conjectures:

* For all positive integers ''n'', there are infinitely many bases ''b'' such that there is a unique prime with period length ''n''. (this conjecture is true if Bunyakowsky conjecture is true, since [[Cyclotomic polynomial|cyclotomic polynomial]]s are irreducible)

* For all bases ''b'', there are infinitely many unique primes.

* For all positive integers ''n'', there are infinitely many bases ''b'' such that there is a unique prime with period length ''n'' which is the 1st situation. (i.e. for all ''n''≥1, there are infinitely many ''b''≥2 such that <math>\Phi_n(b)</math> is prime, where <math>\Phi</math> is the [[Cyclotomic polynomial|cyclotomic polynomial]]) (this conjecture is true if Bunyakowsky conjecture is true, since [[Cyclotomic polynomial|cyclotomic polynomial]]s are irreducible)

* For all bases ''b'', there are infinitely many unique primes which are the 1st situation. (i.e. for all ''b''≥2, there are infinitely many ''n''≥1 such that <math>\Phi_n(b)</math> is prime, where <math>\Phi</math> is the [[Cyclotomic polynomial|cyclotomic polynomial]])

* For all positive integers ''n'' not in {{OEIS|A253235}}, there are infinitely many bases ''b'' such that there is a unique prime with period length ''n'' which is the 2nd situation. (periods lengths ''n'' in {{OEIS|A253235}} cannot have any bases which is the 2nd or the 4th situation) (this conjecture is true if Bunyakowsky conjecture is true, since [[Cyclotomic polynomial|cyclotomic polynomial]]s are irreducible)

* For all bases ''b'', there are only finitely many unique primes (or no unique primes) which are the 2nd situation, specially, in base 2, the only known periods which are the 2nd situation are 18, 20, 21, 54, 147, 342, 602, 889, 258121, and in base 10, the only known periods which are the 2nd situation is 3, 9, 294.

* All (period ''n'', base ''b'') combos which is the 3rd situation are

** ''n'' = 1, ''b'' = ''p''<sup>''c''</sup>+1 with ''p'' prime and ''c'' ≥ 2
** ''n'' = 2, ''b'' = ''p''<sup>''c''</sup>−1 with ''p'' odd prime and ''c'' ≥ 2
** ''n'' = 3, ''b'' = 18
** ''n'' = 5, ''b'' = 3
** ''n'' = 6, ''b'' = 19

* All (period ''n'', base ''b'') combos which is the 4th situation are

** ''n'' = 2, ''b'' = 2<sup>''r''</sup>''p''<sup>''c''</sup>−1 with ''p'' odd prime and ''r'' ≥ 1 and ''c'' ≥ 2
** ''n'' = 3, ''b'' in {{OEIS|A028231}} in the case of (''b''<sup>2</sup>+''b''+1)/3 is square of prime (it is conjectured that powers with exponent > 2 cannot exist) (the first such bases ''b'' are 22, 313, 4366, 847078, ...) (correspond prime are in {{OEIS|A001570}})
** ''n'' = 4, ''b'' in {{OEIS|A002315}} in the case of (''b''<sup>2</sup>+1)/2 is square of prime or 28561=13<sup>4</sup> (it is conjectured that powers with exponent > 2 cannot exist, except (239<sup>2</sup>+1)/2 = 28561 = 13<sup>4</sup>) (the first such bases ''b'' are 7, 41, 239, 8119, 47321, ...) (correspond prime are in {{OEIS|A001563}})
** ''n'' = 6, ''b''−1 in {{OEIS|A028231}} in the case of (''b''<sup>2</sup>−''b''+1)/3 is square of prime (it is conjectured that powers with exponent > 2 cannot exist) (the first such bases ''b'' are 23, 314, 4367, 847079, ...) (correspond prime are in {{OEIS|A001570}})

* Specially, no (period ''n'', base ''b'') combo which is the 3rd or the 4th situation exist for ''n'' > 6

* “Almost all” (period ''n'', base ''b'') combos are the 1st situation

(For all (period ''n'', base ''b'') combo which is the 3rd or the 4th situation, the corresponding prime ''p'' must be generalized [[Wieferich prime]] to base ''b'')

{{cot|title= Table of the periods of primes up to 139 in bases up to 24}}

The mention "terminated" means that the prime divides the base, and thus that the representation of its reciprocal is finite.
<div style="overflow:auto">
{|class="wikitable" style="text-align:right"
! {{diagonal split header|prime|base}}
|[[Base 2|2]]
|3
|4
|5
|6
|7
|8
|9
|10
|11
|12
|13
|14
|15
|16
|17
|18
|19
|20
|21
|22
|23
|24
|-
|2
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|1
| {{terminated}}
|-
|3
|2
| {{terminated}}
|1
|2
| {{terminated}}
|1
|2
| {{terminated}}
|1
|2
| {{terminated}}
|1
|2
| {{terminated}}
|1
|2
| {{terminated}}
|1
|2
| {{terminated}}
|1
|2
| {{terminated}}
|-
|5
|4
|4
|2
| {{terminated}}
|1
|4
|4
|2
| {{terminated}}
|1
|4
|4
|2
| {{terminated}}
|1
|4
|4
|2
| {{terminated}}
|1
|4
|4
|2
|-
|7
|3
|6
|3
|6
|2
| {{terminated}}
|1
|3
|6
|3
|6
|2
| {{terminated}}
|1
|3
|6
|3
|6
|2
| {{terminated}}
|1
|3
|6
|-
|11
|10
|5
|5
|5
|10
|10
|10
|5
|2
| {{terminated}}
|1
|10
|5
|5
|5
|10
|10
|10
|5
|2
| {{terminated}}
|1
|10
|-
|13
|12
|3
|6
|4
|12
|12
|4
|3
|6
|12
|2
| {{terminated}}
|1
|12
|3
|6
|4
|12
|12
|4
|3
|6
|12
|-
|17
|8
|16
|4
|16
|16
|16
|8
|8
|16
|16
|16
|4
|16
|8
|2
| {{terminated}}
|1
|8
|16
|4
|16
|16
|16
|-
|19
|18
|18
|9
|9
|9
|3
|6
|9
|18
|3
|6
|18
|18
|18
|9
|9
|2
| {{terminated}}
|1
|18
|18
|9
|9
|-
|23
|11
|11
|11
|22
|11
|22
|11
|11
|22
|22
|11
|11
|22
|22
|11
|22
|11
|22
|22
|22
|2
| {{terminated}}
|1
|-
|29
|28
|28
|14
|14
|14
|7
|28
|14
|28
|28
|4
|14
|28
|28
|7
|4
|28
|28
|7
|28
|14
|7
|7
|-
|31
|5
|30
|5
|3
|6
|15
|5
|15
|15
|30
|30
|30
|15
|10
|5
|30
|15
|15
|15
|30
|30
|10
|30
|-
|37
|36
|18
|18
|36
|4
|9
|12
|9
|3
|6
|9
|36
|12
|36
|9
|36
|36
|36
|36
|18
|36
|12
|36
|-
|41
|20
|8
|10
|20
|40
|40
|20
|4
|5
|40
|40
|40
|8
|40
|5
|40
|5
|40
|20
|20
|40
|10
|40
|-
|43
|14
|42
|7
|42
|3
|6
|14
|21
|21
|7
|42
|21
|21
|21
|7
|21
|42
|42
|42
|7
|14
|21
|21
|-
|47
|23
|23
|23
|46
|23
|23
|23
|23
|46
|46
|23
|46
|23
|46
|23
|23
|23
|46
|46
|23
|46
|46
|23
|-
|53
|52
|52
|26
|52
|26
|26
|52
|26
|13
|26
|52
|13
|52
|13
|13
|26
|52
|52
|52
|52
|52
|4
|13
|-
|59
|58
|29
|29
|29
|58
|29
|58
|29
|58
|58
|29
|58
|58
|29
|29
|29
|58
|29
|29
|29
|29
|58
|58
|-
|61
|60
|10
|30
|30
|60
|60
|20
|5
|60
|4
|15
|3
|6
|15
|15
|60
|60
|30
|5
|12
|15
|20
|20
|-
|67
|66
|22
|33
|22
|33
|66
|22
|11
|33
|66
|66
|66
|11
|11
|33
|33
|66
|33
|66
|33
|11
|33
|11
|-
|71
|35
|35
|35
|5
|35
|70
|35
|35
|35
|70
|35
|70
|10
|35
|35
|10
|35
|35
|7
|70
|70
|14
|35
|-
|73
|9
|12
|9
|72
|36
|24
|3
|6
|8
|72
|36
|72
|72
|72
|9
|24
|18
|36
|72
|24
|8
|36
|12
|-
|79
|39
|78
|39
|39
|78
|78
|13
|39
|13
|39
|26
|39
|26
|26
|39
|26
|13
|39
|39
|13
|13
|3
|6
|-
|83
|82
|41
|41
|82
|82
|41
|82
|41
|41
|41
|41
|82
|82
|82
|41
|41
|82
|82
|82
|41
|82
|41
|82
|-
|89
|11
|88
|11
|44
|88
|88
|11
|44
|44
|22
|8
|88
|88
|88
|11
|44
|44
|88
|44
|44
|22
|88
|88
|-
|97
|48
|48
|24
|96
|12
|96
|16
|24
|96
|48
|16
|96
|96
|96
|12
|96
|16
|32
|32
|96
|4
|96
|24
|-
|101
|100
|100
|50
|25
|10
|100
|100
|50
|4
|100
|100
|50
|10
|100
|25
|10
|100
|25
|50
|50
|50
|50
|25
|-
|103
|51
|34
|51
|102
|102
|51
|17
|17
|34
|102
|102
|17
|17
|51
|51
|51
|51
|51
|102
|102
|34
|17
|34
|-
|107
|106
|53
|53
|106
|106
|106
|106
|53
|53
|53
|53
|53
|53
|106
|53
|106
|106
|53
|106
|106
|106
|53
|106
|-
|109
|36
|27
|18
|27
|108
|27
|12
|27
|108
|108
|54
|108
|108
|27
|9
|36
|108
|36
|54
|27
|27
|36
|108
|-
|113
|28
|112
|14
|112
|112
|14
|28
|56
|112
|56
|112
|56
|28
|4
|7
|112
|8
|112
|112
|112
|56
|112
|112
|-
|127
|7
|126
|7
|42
|126
|126
|7
|63
|42
|63
|126
|63
|126
|63
|7
|63
|63
|3
|6
|63
|9
|126
|18
|-
|131
|130
|65
|65
|65
|130
|65
|130
|65
|130
|65
|65
|65
|130
|65
|65
|130
|26
|26
|65
|65
|130
|130
|26
|-
|137
|68
|136
|34
|136
|136
|68
|68
|68
|8
|68
|136
|136
|34
|34
|17
|68
|34
|68
|136
|136
|34
|136
|136
|-
|139
|138
|138
|69
|69
|23
|69
|46
|69
|46
|69
|138
|69
|46
|138
|69
|138
|138
|138
|69
|138
|138
|46
|69
|}
</div>
{{cob}}

{{cot|title=Table of primes of a given period (up to 24) in bases up to 24}}

'''Bold''' for unique primes.
<div style="overflow:auto">
{|class="wikitable" style="text-align:right"
! {{diagonal split header|<br/><br/>period<br/>length|base}}
|[[Base 2|2]]
|3
|4
|5
|6
|7
|8
|9
|10
|11
|12
|13
|14
|15
|16
|17
|18
|19
|20
|21
|22
|23
|24
|-
|1
|(none)
|'''2'''
|'''3'''
|'''2'''
|'''5'''
|2, 3
|'''7'''
|'''2'''
|'''3'''
|2, 5
|'''11'''
|2, 3
|'''13'''
|2, 7
|3, 5
|'''2'''
|'''17'''
|2, 3
|'''19'''
|2, 5
|3, 7
|2, 11
|'''23'''
|-
|2
|'''3'''
|(none)
|'''5'''
|'''3'''
|'''7'''
|(none)
|'''3'''
|'''5'''
|'''11'''
|'''3'''
|'''13'''
|'''7'''
|3, 5
|(none)
|'''17'''
|'''3'''
|'''19'''
|'''5'''
|3, 7
|'''11'''
|'''23'''
|'''3'''
|'''5'''
|-
|3
|'''7'''
|'''13'''
|'''7'''
|'''31'''
|'''43'''
|'''19'''
|'''73'''
|7, 13
|'''37'''
|7, 19
|'''157'''
|'''61'''
|'''211'''
|'''241'''
|7, 13
|'''307'''
|'''7'''
|'''127'''
|'''421'''
|'''463'''
|'''13'''
|7, 79
|'''601'''
|-
|4
|'''5'''
|'''5'''
|'''17'''
|'''13'''
|'''37'''
|'''5'''
|5, 13
|'''41'''
|'''101'''
|'''61'''
|5, 29
|5, 17
|'''197'''
|'''113'''
|'''257'''
|5, 29
|5, 13
|'''181'''
|'''401'''
|13, 17
|5, 97
|5, 53
|'''577'''
|-
|5
|'''31'''
|'''11'''
|11, 31
|11, 71
|'''311'''
|'''2801'''
|31, 151
|11, 61
|41, 271
|'''3221'''
|'''22621'''
|'''30941'''
|11, 3761
|11, 4931
|11, 31, 41
|'''88741'''
|41, 2711
|151, 911
|11, 61, 251
|'''40841'''
|'''245411'''
|'''292561'''
|'''346201'''
|-
|6
|(none)
|'''7'''
|'''13'''
|'''7'''
|'''31'''
|'''43'''
|'''19'''
|'''73'''
|7, 13
|'''37'''
|7, 19
|'''157'''
|'''61'''
|'''211'''
|'''241'''
|7, 13
|'''307'''
|'''7'''
|'''127'''
|'''421'''
|'''463'''
|'''13'''
|7, 79
|-
|7
|'''127'''
|'''1093'''
|43, 127
|'''19531'''
|'''55987'''
|29, 4733
|127, 337
|547, 1093
|239, 4649
|43, 45319
|659, 4943
|'''5229043'''
|'''8108731'''
|'''1743463'''
|29, 43, 113, 127
|'''25646167'''
|449, 80207
|701, 70841
|29, 71, 32719
|43, 631, 3319
|'''16968421'''
|29, 5336717
|29, 239, 28771
|-
|8
|'''17'''
|'''41'''
|'''257'''
|'''313'''
|'''1297'''
|'''1201'''
|17, 241
|17, 193
|73, 137
|'''7321'''
|89, 233
|'''14281'''
|41, 937
|17, 1489
|'''65537'''
|'''41761'''
|113, 929
|17, 3833
|'''160001'''
|'''97241'''
|73, 3209
|'''139921'''
|'''331777'''
|-
|9
|'''73'''
|'''757'''
|19, 73
|19, 829
|19, 2467
|37, 1063
|'''262657'''
|19, 37, 757
|'''333667'''
|'''1772893'''
|37, 80749
|'''1609669'''
|397, 18973
|541, 21061
|19, 37, 73, 109
|19, 1270657
|991, 34327
|523, 29989
|'''64008001'''
|'''85775383'''
|127, 297613
|19, 7792003
|19, 2017, 4987
|-
|10
|'''11'''
|'''61'''
|'''41'''
|'''521'''
|11, 101
|11, 191
|11, 331
|'''1181'''
|'''9091'''
|'''13421'''
|'''19141'''
|11, 2411
|71, 101
|31, 1531
|'''61681'''
|11, 71, 101
|11, 9041
|11, 2251
|'''152381'''
|'''185641'''
|'''224071'''
|31, 41, 211
|11, 5791
|-
|11
|23, 89
|23, 3851
|23, 89, 683
|'''12207031'''
|23, 3154757
|1123, 293459
|23, 89, 599479
|23, 67, 661, 3851
|21649, 513239
|15797, 1806113
|23, 266981089
|23, 419, 859, 18041
|67, 4027, 1154539
|67, 463, 2333, 8537
|23, 89, 397, 683, 2113
|'''2141993519227'''
|23, 199, 16127, 51217
|104281, 62060021
|'''10778947368421'''
|'''17513875027111'''
|67, 353, 1176469537
|'''3937230404603'''
|67, 7349, 134367047
|-
|12
|'''13'''
|'''73'''
|'''241'''
|'''601'''
|13, 97
|13, 181
|37, 109
|'''6481'''
|'''9901'''
|13, 1117
|'''20593'''
|'''28393'''
|37, 1033
|13, 3877
|97, 673
|'''83233'''
|229, 457
|13, 769
|13, 12277
|61, 3181
|157, 1489
|37, 7549
|13, 73, 349
|-
|13
|'''8191'''
|'''797161'''
|2731, 8191
|'''305175781'''
|3433, 760891
|'''16148168401'''
|79, 8191, 121369
|398581, 797161
|53, 79, 265371653
|1093, 3158528101
|477517, 20369233
|53, 264031, 1803647
|157, 29914249171
|53, 157483, 16655159
|53, 157, 1613, 2731, 8191
|212057, 2919196853
|79, 521, 29759719289
|599, 29251, 133338869
|3121, 142559, 9690539
|79, 189437, 516094151
|79, 2003, 85107437663
|47691619, 480393499
|53, 6553, 15913, 6895253
|-
|14
|'''43'''
|'''547'''
|29, 113
|29, 449
|29, 197
|113, 911
|43, 5419
|29, 16493
|'''909091'''
|'''1623931'''
|211, 13063
|29, 22079
|'''7027567'''
|'''10678711'''
|'''15790321'''
|'''22796593'''
|'''32222107'''
|197, 226871
|827, 10529
|'''81867661'''
|29, 43, 86969
|71, 673, 2969
|'''183458857'''
|-
|15
|'''151'''
|'''4561'''
|151, 331
|181, 1741
|1171, 1201
|31, 159871
|631, 23311
|31, 271, 4561
|31, 2906161
|'''195019441'''
|61, 661, 9781
|4651, 161971
|31, 2851, 15511
|61, 39225301
|61, 151, 331, 1321
|'''6566760001'''
|31, 601, 558721
|31, 211, 2460181
|31, 3001, 261451
|211, 9391, 18181
|61, 858794191
|'''74912328481'''
|241, 17881, 24481
|-
|16
|'''257'''
|17, 193
|'''65537'''
|17, 11489
|17, 98801
|17, 169553
|97, 257, 673
|'''21523361'''
|17, 5882353
|17, 6304673
|17, 97, 260753
|'''407865361'''
|17, 5393, 16097
|7121, 179953
|641, 6700417
|18913, 184417
|97, 113607841
|15073, 563377
|17, 1505882353
|62897, 300673
|17, 3227992561
|17, 3697, 623009
|17, 2801, 2311681
|-
|17
|'''131071'''
|1871, 34511
|43691, 131071
|409, 466344409
|239, 409, 1123, 30839
|14009, 2767631689
|103, 2143, 11119, 131071
|103, 307, 1021, 1871, 34511
|2071723, 5363222357
|'''50544702849929377'''
|2693651, 74876782031
|103, 443, 15798461357509
|103, 22771730193675277
|1045002649, 6734509609
|137, 953, 26317, 43691, 131071
|10949, 1749233, 2699538733
|'''7563707819165039903'''
|3044803, 99995282631947
|'''689852631578947368421'''
|'''1502097124754084594737'''
|239, 74729519, 176634767651
|103, 62246266355102810647
|307, 120574031, 341563234253
|-
|18
|'''19'''
|19, 37
|37, 109
|'''5167'''
|'''46441'''
|'''117307'''
|'''87211'''
|'''530713'''
|19, 52579
|'''590077'''
|1657, 1801
|19, 271, 937
|19, 132049
|19, 739, 811
|433, 38737
|1423, 5653
|73, 465841
|199, 236377
|307, 69481
|19, 37, 199, 613
|19, 5966803
|163, 271, 1117
|127, 199, 7561
|-
|19
|'''524287'''
|1597, 363889
|174763, 524287
|191, 6271, 3981071
|191, 638073026189
|419, 4534166740403
|32377, 524287, 1212847
|1597, 2851, 101917, 363889
|'''1111111111111111111'''
|'''6115909044841454629'''
|'''29043636306420266077'''
|12865927, 9468940004449
|'''459715689149916492091'''
|4272113, 370649274902657
|229, 457, 174763, 524287, 525313
|229, 1103, 202607147, 291973723
|6841, 6089884909802812423
|'''109912203092239643840221'''
|75368484119, 192696104561
|12061389013, 54921106624003
|45943, 341203, 97404596002423
|2129, 63877469, 24939218613613
|'''7282588256957615350925401'''
|-
|20
|'''41'''
|'''1181'''
|'''61681'''
|41, 9161
|241, 6781
|281, 4021
|41, 61, 1321
|'''42521761'''
|3541, 27961
|'''212601841'''
|'''85403261'''
|421, 601, 641
|1061, 1383881
|19421, 131381
|'''4278255361'''
|21881, 63541
|15101, 145501
|'''16936647121'''
|41, 2801, 222361
|41, 920421641
|181, 401, 150901
|61, 941, 272341
|61, 1801385941
|-
|21
|'''337'''
|'''368089'''
|337, 5419
|379, 519499
|'''1822428931'''
|'''11898664849'''
|92737, 649657
|43, 2269, 368089
|43, 1933, 10838689
|1723, 8527, 27763
|'''8177824843189'''
|43, 337, 547, 2714377
|43, 547, 2239000891
|43, 2817034275427
|337, 1429, 5419, 14449
|43, 13567, 940143709
|'''156107192084257'''
|30640261, 68443621
|460951, 8442733531
|4789, 6427, 227633407
|'''12271836836138419'''
|43, 170689, 408030421
|43, 10426753, 78066619
|-
|22
|'''683'''
|67, 661
|397, 2113
|23, 67, 5281
|'''51828151'''
|23, 10746341
|67, 683, 20857
|5501, 570461
|23, 4093, 8779
|23, 89, 199, 58367
|'''57154490053'''
|'''128011456717'''
|23, 11737870057
|23, 23504771357
|353, 2931542417
|23, 947, 87415373
|536801, 6301307
|23, 253239693257
|23, 424016563147
|23, 6073, 10362529
|89, 285451051007
|'''39700406579747'''
|'''60867245726761'''
|-
|23
|47, 178481
|47, 1001523179
|47, 178481, 2796203
|8971, 332207361361
|47, 139, 3221, 7505944891
|47, 3083, 31479823396757
|47, 178481, 10052678938039
|47, 1001523179, 23535794707
|'''11111111111111111111111'''
|829, 28878847, 3740221981231
|47, 39891250417, 321218438243
|1381, 2519545342349331183143
|47, 461, 2347, 10627, 2249861, 14525237
|829, 31741, 3046462151831565769
|47, 277, 1013, 1657, 30269, 178481, 2796203
|47, 26552618219228090162977481
|47, 599, 7468009, 20801237997245359
|277, 2347, 16497763013, 1335495402823
|691, 1381, 46266279097921483078651
|47, 19597, 139870566115103282847737
|4463, 1323064018651, 60575166785239
|461, 1289, 831603031789, 1920647391913
|47, 124799, 304751, 58769065453824529
|-
|24
|'''241'''
|'''6481'''
|97, 673
|'''390001'''
|'''1678321'''
|73, 193, 409
|433, 38737
|97, 577, 769
|'''99990001'''
|10657, 20113
|193, 2227777
|'''815702161'''
|'''1475750641'''
|'''2562840001'''
|193, 22253377
|73, 1321, 72337
|'''11019855601'''
|4297, 3952393
|31177, 821113
|73, 518118697
|191353, 286777
|937, 83575993
|97, 1134793633
|}
</div>
{{cob}}

==Decimal unique primes==
At present, more than fifty unique primes or probable primes are known. However, there are only twenty-three unique primes below 10<sup>100</sup>. The following table lists all 23 unique primes below 10<sup>100</sup> (sequence {{OEIS link|id=A040017}} (sorted) and {{OEIS link|id=A007615}} (ordered by period length) in OEIS) and their periods (sequence {{OEIS link|id=A051627}} (ordered by corresponding primes) and {{OEIS link|id=A007498}} (sorted) in OEIS)
{| class="wikitable" style="text-align:right"
|-
! {{vert header|Period<br/>length}} !! Prime
|- style="font-family:monospace" style="font-family:monospace"
| 1 || 3
|- style="font-family:monospace"
| 2 || [[11 (number)|11]]
|- style="font-family:monospace"
| 3 || [[37 (number)|37]]
|- style="font-family:monospace"
| 4 || [[101 (number)|101]]
|- style="font-family:monospace"
| 10 || 9,091
|- style="font-family:monospace"
| 12 || 9,901
|- style="font-family:monospace"
| 9 || 333,667
|- style="font-family:monospace"
| 14 || 909,091
|- style="font-family:monospace"
| 24 || 99,990,001
|- style="font-family:monospace"
| 36 || 999,999,000,001
|- style="font-family:monospace"
| 48 || 9,999,999,900,000,001
|- style="font-family:monospace"
| 38 || 909,090,909,090,909,091
|- style="font-family:monospace"
| 19 || 1,111,111,111,111,111,111
|- style="font-family:monospace"
| 23 || 11,111,111,111,111,111,111,111
|- style="font-family:monospace"
| 39 || 900,900,900,900,990,990,990,991
|- style="font-family:monospace"
| 62 || 909,090,909,090,909,090,909,090,909,091
|- style="font-family:monospace"
| 120 || 100,009,999,999,899,989,999,000,000,010,001
|- style="font-family:monospace"
| 150 || 10,000,099,999,999,989,999,899,999,000,000,000,100,001
|- style="font-family:monospace"
| 106 || 9,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,091
|- style="font-family:monospace"
| 93 || 900,900,900,900,900,900,900,900,900,900,990,990,990,990,990,990,990,990,990,991
|- style="font-family:monospace"
| 134 || 909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,091
|- style="font-family:monospace"
| 294 || 142,857,157,142,857,142,856,999,999,985,714,285,714,285,857,142,857,142,855,714,285,571,428,571,428,572,857,143
|- style="font-family:monospace"
| 196 || 999,999,999,999,990,000,000,000,000,099,999,999,999,999,000,000,000,000,009,999,999,999,999,900,000,000,000,001
|}

The prime with period length 294 is similar{{what?|date=October 2016}} to the [[Multiplicative inverse|reciprocal]] of 7 (0.142857142857142857...)

Just after the table, the twenty-fourth unique prime has 128 digits and period length 320. It can be written as (9<sub>32</sub>0<sub>32</sub>)<sub>2</sub> + 1, where a subscript number ''n'' indicates ''n'' consecutive copies of the digit or group of digits before the subscript.

Though they are rare, based on the occurrence of [[Repunit|repunit]] primes and probable primes, it is [[Conjecture|conjecture]]d strongly that there are infinitely many unique primes. (Any repunit prime is unique.)

{{As of|2010}} the repunit (10<sup>270343</sup>&nbsp;–&nbsp;1)/9 is the largest known probable unique prime.<ref>[http://www.primenumbers.net/prptop/prptop.php PRP Records: Probable Primes Top 10000]</ref>

In 1996 the largest ''proven'' unique prime was (10<sup>1132</sup>&nbsp;+&nbsp;1)/10001 or, using the notation above, (99990000)<sub>141</sub>&nbsp;+&nbsp;1. It has 1128 digits. The record has been improved many times since then. {{As of|2020}} the largest proven unique prime is <math>\Phi_{39855}(-10)</math>, it has 20160 digits.<ref>[http://primes.utm.edu/top20/page.php?id=62 ''The Top Twenty Unique''; Chris Caldwell]</ref>

==Binary unique primes==
The first unique primes in binary (base 2) are:
:3, 5, 7, 11, 13, 17, 19, 31, 41, 43, 73, 127, 151, 241, 257, 331, 337, 683, ... (sequence {{OEIS link|id=A144755}} (sorted) and {{OEIS link|id=A161509}} (ordered by period length) in OEIS)

The period length of them are:
:2, 4, 3, 10, 12, 8, 18, 5, 20, 14, 9, 7, 15, 24, 16, 30, 21, 22, ... (sequence {{OEIS link|id=A247071}} (ordered by corresponding primes) and {{OEIS link|id=A161508}} (sorted) in OEIS)

They include Fermat primes (the period length is a power of 2), [[Mersenne prime]]s (the period length is a [[Prime number|prime]]) and [[Wagstaff prime]]s (the period length is twice an odd prime).

Additionally, if ''n'' is a natural number which is not equal to 1 or 6, than at least one prime have period ''n'' in base 2, because of the Zsigmondy theorem. Besides, if ''n'' is [[Modular arithmetic|congruent]] to 4 (mod 8) and ''n'' > 20, then at least two primes have period ''n'' in base 2, (Thus, ''n'' is not a unique period in base 2) because of the [[Aurifeuillean factorization]], for example, [[113 (number)|113]] (<math>=\Phi_{28L}(2)</math>) and [[29 (number)|29]] (<math>=\Phi_{28M}(2)</math>) both have period 28 in base 2, [[37 (number)|37]] (<math>=\Phi_{36L}(2)</math>) and [[109 (number)|109]] (<math>=\Phi_{36M}(2)</math>) both have period 36 in base 2, and that 397 (<math>=\Phi_{44L}(2)</math>) and 2113 (<math>=\Phi_{44M}(2)</math>) both have period 44 in base&nbsp;2,

As shown above, a prime ''p'' is a unique prime of period ''n''  in base 2 [[If and only if|if and only if]] there exists a [[Natural number|natural number]] ''c'' such that

:<math>\frac{\Phi_n(2)}{\gcd(\Phi_n(2),n)} = p^c.</math>

Empirically, it appears that most cases correspond to the denominator <math>\gcd(\Phi_n(2),n)</math> being 1, so we have a prime (or prime power) of form <math>\Phi_n(2)</math>. However, for ''n'' equal to 18, 20, 21, 54, 147, ... {{OEIS|A333973}}, we get a binary unique prime even though <math>\Phi_n(2)</math> has a small divisor (which is shared with ''n'').

In fact, no prime with ''c'' > 1 (that is <math>\Phi_n(2)/\gcd(\Phi_n(2),n)</math> is a ''true power'' of ''p'') have been discovered, and all known unique primes ''p'' have ''c'' = 1. It is conjectured that all unique primes have ''c'' = 1 (that is, all base-2 unique primes are not [[Wieferich prime]]s).

As of September 2019, the largest known base 2 unique prime is 2<sup>82589933</sup>-1, it is also the largest known prime. With an exception of Mersenne primes, the largest known probable base 2 unique prime is <math>\frac{2^{13372531}+1}{3}</math>,<ref>[http://www.primenumbers.net/prptop/searchform.php?form=%282%5En%2B1%29%2F3&action=Search PRP records]</ref> and the largest ''proven'' base 2 unique prime is <math>\frac{2^{83339}+1}{3}</math>. Besides, the largest known probable base 2 unique prime which is not Mersenne prime or Wagstaff prime is <math>\frac{2^{4101572}+1}{17}</math>.

Similar to base 10, though they are rare (but more than the case to base 10), it is conjectured that there are infinitely many base 2 unique primes, because all Mersenne primes are unique in base 2, and it is conjectured they there are infinitely many Mersenne primes.{{cn|date=October 2016}}

They divide none of overpseudoprimes to base 2, but every other odd prime number divide one overpseudoprime to base 2, because [[If and only if|if and only if]] a composite number can be written as <math>\frac{\Phi_n(2)}{\gcd(\Phi_n(2),n)}</math>, it is an overpseudoprime to base 2.{{clarify|reason=what is an overpesudoprime?|date=October 2016}}

There are 52 unique primes in base 2 below 2<sup>64</sup>, they are:
{|class="wikitable" style="text-align: right;"
!{{vert header|Period<br/>length}}!!Prime (written in decimal)!!Prime (written in binary)
|- style="font-family:monospace;"
|2 || 3 || 11
|- style="font-family:monospace;"
|4 || 5 || 101
|- style="font-family:monospace;"
|3 || 7 || 111
|- style="font-family:monospace;"
|10 || [[11 (number)|11]] || 1011
|- style="font-family:monospace;"
|12 || [[13 (number)|13]] || 1101
|- style="font-family:monospace;"
|8 || [[17 (number)|17]] || 1 0001
|- style="font-family:monospace;"
|18 || [[19 (number)|19]] || 1 0011
|- style="font-family:monospace;"
|5 || [[31 (number)|31]] || 1 1111
|- style="font-family:monospace;"
|20 || [[41 (number)|41]] || 10 1001
|- style="font-family:monospace;"
|14 || [[43 (number)|43]] || 10 1011
|- style="font-family:monospace;"
|9 || [[73 (number)|73]] || 100 1001
|- style="font-family:monospace;"
|7 || [[127 (number)|127]] || 111 1111
|- style="font-family:monospace;"
|15 || [[151 (number)|151]] || 1001 0111
|- style="font-family:monospace;"
|24 || [[241 (number)|241]] || 1111 0001
|- style="font-family:monospace;"
|16 || [[257 (number)|257]] || 1 0000 0001
|- style="font-family:monospace;"
|30 || 331 || 1 0100 1011
|- style="font-family:monospace;"
|21 || 337 || 1 0101 0001
|- style="font-family:monospace;"
|22 || 683 || 10 1010 1011
|- style="font-family:monospace;"
|26 || 2,731 || 1010 1010 1011
|- style="font-family:monospace;"
|42 || 5,419 || 1 0101 0010 1011
|- style="font-family:monospace;"
|13 || 8,191 || 1 1111 1111 1111
|- style="font-family:monospace;"
|34 || 43,691 || 1010 1010 1010 1011
|- style="font-family:monospace;"
|40 || 61,681 || 1111 0000 1111 0001
|- style="font-family:monospace;"
|32 || 65,537 || 1 0000 0000 0000 0001
|- style="font-family:monospace;"
|54 || 87,211 || 1 0101 0100 1010 1011
|- style="font-family:monospace;"
|17 || 131,071 || 1 1111 1111 1111 1111
|- style="font-family:monospace;"
|38 || 174,763 || 10 1010 1010 1010 1011
|- style="font-family:monospace;"
|27 || 262,657 || 100 0000 0010 0000 0001
|- style="font-family:monospace;"
|19 || 524,287 || 111 1111 1111 1111 1111
|- style="font-family:monospace;"
|33 || 599,479 || 1001 0010 0101 1011 0111
|- style="font-family:monospace;"
|46 || 2,796,203 || 10 1010 1010 1010 1010 1011
|- style="font-family:monospace;"
|56 || 15,790,321 || 1111 0000 1111 0000 1111 0001
|- style="font-family:monospace;"
|90 || 18,837,001 || 1 0001 1111 0110 1110 0000 1001
|- style="font-family:monospace;"
|78 || 22,366,891 || 1 0101 0101 0100 1010 1010 1011
|- style="font-family:monospace;"
|62 || 715,827,883 || 10 1010 1010 1010 1010 1010 1010 1011
|- style="font-family:monospace;"
|31 || 2,147,483,647 || 111 1111 1111 1111 1111 1111 1111 1111
|- style="font-family:monospace;"
|80 || 4,278,255,361 || 1111 1111 0000 0000 1111 1111 0000 0001
|- style="font-family:monospace;"
|120 || 4,562,284,561 || 1 0000 1111 1110 1110 1111 0000 0001 0001
|- style="font-family:monospace;"
|126 || 77,158,673,929 || 1 0001 1111 0111 0000 0011 1110 1110 0000 1001
|- style="font-family:monospace;"
|150 || 1,133,836,730,401 || 1 0000 0111 1111 1101 1110 1111 1000 0000 0010 0001
|- style="font-family:monospace;"
|86 || 2,932,031,007,403 || 10 1010 1010 1010 1010 1010 1010 1010 1010 1010 1011
|- style="font-family:monospace;"
|98 || 4,363,953,127,297 || 11 1111 1000 0000 1111 1110 0000 0011 1111 1000 0001
|- style="font-family:monospace;"
|49 || 4,432,676,798,593 || 100 0000 1000 0001 0000 0010 0000 0100 0000 1000 0001
|- style="font-family:monospace;"
|69 || 10,052,678,938,039 || 1001 0010 0100 1001 0010 0101 1011 0110 1101 1011 0111
|- style="font-family:monospace;"
|65 || 145,295,143,558,111 || 1000 0100 0010 0101 0010 1001 0110 1011 0101 1011 1101 1111
|- style="font-family:monospace;"
|174 || 96,076,791,871,613,611 || 1 0101 0101 0101 0101 0101 0101 0100 1010 1010 1010 1010 1010 1010 1011
|- style="font-family:monospace;"
|77 || 581,283,643,249,112,959 || 1000 0001 0001 0010 0010 0110 0100 1100 1101 1001 1011 1011 0111 0111 1111
|- style="font-family:monospace;"
|93 || 658,812,288,653,553,079 || 1001 0010 0100 1001 0010 0100 1001 0011 0110 1101 1011 0110 1101 1011 0111
|- style="font-family:monospace;"
|122 || 768,614,336,404,564,651 || 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1011
|- style="font-family:monospace;"
|61 || 2,305,843,009,213,693,951 || 1 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111
|- style="font-family:monospace;"
|85 || 9,520,972,806,333,758,431 || 1000 0100 0010 0001 0100 1010 0101 0010 1011 0101 1010 1101 0111 1011 1101 1111
|- style="font-family:monospace;"
|192 || 18,446,744,069,414,584,321 || 1111 1111 1111 1111 1111 1111 1111 1111 0000 0000 0000 0000 0000 0000 0000 0001
|}

After the table, the next 10 binary unique prime have period length 170, 234, 158, 165, 147, 129, 184, 89, 208, and 312. Besides, the bits (digits in binary) of them are 65, 73, 78, 81, 82, 84, 88, 89, 96, and 97.

==Bi-unique primes==
Bi-unique primes are pairs of primes that share a period length with each other, but with no other primes. For example, in binary, the bi-unique primes with at least one prime less than 10000 are:

{| class="wikitable" style="text-align:right; width:100%"
! prime<br/>''p''
! style="width:90%" | the only other prime having the same period as ''p''
! period<br/>length
|- style="font-family:monospace;"
| 23
| 89
| 11
|- style="font-family:monospace;"
| 29
| 113
| 28
|- style="font-family:monospace;"
| 37
| 109
| 36
|- style="font-family:monospace;"
| 47
| 178481
| 23
|- style="font-family:monospace;"
| 59
| 3033169
| 58
|- style="font-family:monospace;"
| 61
| 1321
| 60
|- style="font-family:monospace;"
| 67
| 20857
| 66
|- style="font-family:monospace;"
| 71
| 122921
| 35
|- style="font-family:monospace;"
| 79
| 121369
| 39
|- style="font-family:monospace;"
| 83
| 8831418697
| 82
|- style="font-family:monospace;"
| 89
| 23
| 11
|- style="font-family:monospace;"
| 97
| 673
| 48
|- style="font-family:monospace;"
| 107
| 28059810762433
| 106
|- style="font-family:monospace;"
| 109
| 37
| 36
|- style="font-family:monospace;"
| 113
| 29
| 28
|- style="font-family:monospace;"
| 139
| 168749965921
| 138
|- style="font-family:monospace;"
| 167
| style="word-wrap: break-word; word-break: break-all;" | 57912614113275649087721
| 83
|- style="font-family:monospace;"
| 193
| 22253377
| 96
|- style="font-family:monospace;"
| 223
| 616318177
| 37
|- style="font-family:monospace;"
| 251
| 4051
| 50
|- style="font-family:monospace;"
| 263
| style="word-wrap: break-word; word-break: break-all;" | 10350794431055162386718619237468234569
| 131
|- style="font-family:monospace;"
| 281
| 86171
| 70
|- style="font-family:monospace;"
| 283
| 165768537521
| 94
|- style="font-family:monospace;"
| 353
| 2931542417
| 88
|- style="font-family:monospace;"
| 397
| 2113
| 44
|- style="font-family:monospace;"
| 433
| 38737
| 72
|- style="font-family:monospace;"
| 463
| style="word-wrap: break-word; word-break: break-all;" | 4982397651178256151338302204762057
| 231
|- style="font-family:monospace;"
| 571
| 160465489
| 114
|- style="font-family:monospace;"
| 577
| 487824887233
| 144
|- style="font-family:monospace;"
| 601
| 1801
| 25
|- style="font-family:monospace;"
| 607
| style="word-wrap: break-word; word-break: break-all;" | 1512768222413735255864403005264105839324374778520631853993
| 303
|- style="font-family:monospace;"
| 631
| 23311
| 45
|- style="font-family:monospace;"
| 641
| 6700417
| 64
|- style="font-family:monospace;"
| 643
| style="word-wrap: break-word; word-break: break-all;" | 84115747449047881488635567801
| 214
|- style="font-family:monospace;"
| 673
| 97
| 48
|- style="font-family:monospace;"
| 727
| style="word-wrap: break-word; word-break: break-all;" | 1786393878363164227858270210279
| 121
|- style="font-family:monospace;"
| 751
| style="word-wrap: break-word; word-break: break-all;" | 2139731020464054092520609592459940706818275139793055476751
| 375
|- style="font-family:monospace;"
| 769
| style="word-wrap: break-word; word-break: break-all;" | 442499826945303593556473164314770689
| 384
|- style="font-family:monospace;"
| 919
| style="word-wrap: break-word; word-break: break-all;" | 75582488424179347083438319
| 153
|- style="font-family:monospace;"
| 1039
| style="word-wrap: break-word; word-break: break-all;" | 19709014643115560219397264671577125505264032974428376489237001990435774189483906244488746953221813209
| 519
|- style="font-family:monospace;"
| 1291
| style="word-wrap: break-word; word-break: break-all;" | 83861817871925183739792206470703862766563053456867813459969184678546547694793573468589875745315081
| 1290
|- style="font-family:monospace;"
| 1321
| 61
| 60
|- style="font-family:monospace;"
| 1327
| style="word-wrap: break-word; word-break: break-all;" | 2365454398418399772605086209214363458552839866247069233
| 221
|- style="font-family:monospace;"
| 1429
| 14449
| 84
|- style="font-family:monospace;"
| 1471
| style="word-wrap: break-word; word-break: break-all;" | 252359902034571016856214298851708529738525821631
| 245
|- style="font-family:monospace;"
| 1543
| style="word-wrap: break-word; word-break: break-all;" | 4965395030068548134274243124972075225434447114375481299036593442726326832727934403424309955102162841656341524725641213163998408700663382552888660520657
| 771
|- style="font-family:monospace;"
| 1697
| style="word-wrap: break-word; word-break: break-all;" | 99335205800663868215396640964567095667094665346141013294320587365443384719802857319737050495099341955640963272958071602273
| 848
|- style="font-family:monospace;"
| 1753
| 1795918038741070627
| 146
|- style="font-family:monospace;"
| 1777
| 25781083
| 74
|- style="font-family:monospace;"
| 1801
| 601
| 25
|- style="font-family:monospace;"
| 2113
| 397
| 44
|- style="font-family:monospace;"
| 2281
| 3011347479614249131
| 190
|- style="font-family:monospace;"
| 2801
| style="word-wrap: break-word; word-break: break-all;" | 1114513219367157067542813609361306957257890531134775327875067038594481393220804051366788787128409731513666376851495151281817670381468528387601
| 1400
|- style="font-family:monospace;"
| 2971
| 48912491
| 110
|- style="font-family:monospace;"
| 3011
| style="word-wrap: break-word; word-break: break-all;" | 631215008947706187342830494125660733360092019659681922883823392015121754384870744044074337887482936870852519582960673945561810148710850934449712549090934572292098088972061029650939105592263256293676274598529593937386833315889748213948490958132757432166701901197169972066727635929332437543971934775961
| 3010
|- style="font-family:monospace;"
| 3259
| style="word-wrap: break-word; word-break: break-all;" | 960843850986532976532466235773483492840618819232206145010143480044702708779967241439519037158800917230289
| 1086
|- style="font-family:monospace;"
| 3361
| 88959882481
| 168
|- style="font-family:monospace;"
| 3967
| style="word-wrap: break-word; word-break: break-all;" | 3296810823331827444014404831943558588631803435050404237042485765714486337505843011741487225539321479275976317423474114853376321380782906502106758766783934866952124117240484839332668914566806988602931402117416523955329423560856334826333176954575294550104263404414368761262079586842542586869780254842277261781328657636993064897732127711363870426953852536828242291991249685206783121190349820804553
| 1983
|- style="font-family:monospace;"
| 4051
| 251
| 50
|- style="font-family:monospace;"
| 4129
| style="word-wrap: break-word; word-break: break-all;" | 33770734168253651800370989375796994825389296318018601048482005531172856260013942500368975908606689
| 688
|- style="font-family:monospace;"
| 4177
| 9857737155463
| 87
|- style="font-family:monospace;"
| 4523
| style="word-wrap: break-word; word-break: break-all;" | 106788290443848295284382097033
| 266
|- style="font-family:monospace;"
| 4561
| style="word-wrap: break-word; word-break: break-all;" | 51049903050598156013062477654241640657829025002976204451060261008689478158715729745160924860467530309657376827104233308157772350164622158651187694109112727796663977157921
| 2280
|- style="font-family:monospace;"
| 4871
| style="word-wrap: break-word; word-break: break-all;" | 82033219963138371097689272308258116841679442057301643873942124991182012434598644913857356023840478815121709542915222280972560231358838127531337
| 487
|- style="font-family:monospace;"
| 5153
| 54410972897
| 112
|- style="font-family:monospace;"
| 5281
| style="word-wrap: break-word; word-break: break-all;" | 860573414369008969457638101533827364704684164286188824383996871471626764468219429432850649798234488791036977295952185305281368586922360240161830570497885830241813162641447900350702795124321
| 2640
|- style="font-family:monospace;"
| 5347
| 242099935645987
| 198
|- style="font-family:monospace;"
| 5431
| style="word-wrap: break-word; word-break: break-all;" | 9496792988973395279834809661569251320544014305629535339041176003993804676485199470146061766714674245857484692035146769896735263094609746643655454990307740324793870789211183639302657602006206727998357155351588374904926882678074633252877772442134938712719216422825919305415646969838444956229559805502059906228691551284152908049964563516405524127028294884716508273187514617905113012642316992618568629664046915514871575875088457784721
| 2715
|- style="font-family:monospace;"
| 5881
| style="word-wrap: break-word; word-break: break-all;" | 23618256244840618857212522155851714598259422753496906641681177748710460515038403366198473773770441
| 1470
|- style="font-family:monospace;"
| 6043
| style="word-wrap: break-word; word-break: break-all;" | 4475130366518102084427698737
| 318
|- style="font-family:monospace;"
| 6659
| style="word-wrap: break-word; word-break: break-all;" | 67348091890626757137914773048080151982788009808953349522971703676209072447919253736713943719839321930921001920443146832964494535806286153336758808764827052922284527987735369082658226155752758837734585788583920437031679967832798697874531506375848295306002069974292647012532975382657869395896549536084026643086849168707638035984652951756449232381922841508279043449553683642165895518852273616853752192626547082225232322662203349617421624450106130361133033050996977517456780759336980017504035553443204836636663583950658161718264375035034007950563418777684540446570742277682688819816930529249402141227674467861784042184664703273065772145626307008333021727910295689307897812592176340797189662547498298629041419687123412984210580325376481846316396566413701109848755348878790562296275295266190788880122151835567771665815565611863261470167857288685014242115505182159685753576612239477286620238583071292970734389580521730540789853959607322402465845627773409459421340250476125665859926003121138412497735360569
| 6658
|- style="font-family:monospace;"
| 6719
| style="word-wrap: break-word; word-break: break-all;" | 215006106257113223254503015023149432126193150293791416185445173578281597218315377296589584591228602041183907532584815068471747291177386898925622477208530115714962355294842135137890474394949339249259335407710018584480055157825387089416912233252714054247018216597994795059161567922302450277281351135838393171424038832688432240078361264161523904355539085927738753968157018550258476163852090826756157915705283413226000816151712543838581066281600650278690534719371112997393190721068136840596790525950480851370510277560248341182341805553054000587378384785994695875587394905226703149605689830257768229987714770949192483302583569799141079867597051190134078718011730508482542567284418838119000563443985593691221203060137047648713095502877775290062907208508727269017130916691676838817452529964938878349395785642430571852241837461604136374448443730175081889502056290512497717177577492736555784081731998565765598518104822516520340301701034123926767472784665776779480628821628279687651736198541330802238405154786248043073
| 3359
|- style="font-family:monospace;"
| 7487
| style="word-wrap: break-word; word-break: break-all;" | 26828803997912886929710867041891989490486893845712448833
| 197
|- style="font-family:monospace;"
| 8929
| style="word-wrap: break-word; word-break: break-all;" | 197107422273014301919781414466039325387889623676342705850752210599969
| 496
|- style="font-family:monospace;"
| 8969
| style="word-wrap: break-word; word-break: break-all;" | 10508537584872980049787749414505440238543661684506416445249892188329191267897669657242625405655025902294996965713681247700894953567276596965114308183649957469931262029470372188492494505614207827774171575432114297123003373257035070542940532411186322417809411123684246738342720455933424175399671044286557638075591
| 1121
|- style="font-family:monospace;"
| 9547
| style="word-wrap: break-word; word-break: break-all;" | 1621441292160739312484402643488810210953460916758334047593952342310982348899125523375207637304333778211869062392988099059802528019593682234941755422758885656395068722385037980657466257618112582188770921312100125511337836412531718154395821529210922389443733616354268820219577863577759459082447218927273695668223251258943006743614909639761127161704816862626236353032622115795192245125083091261029053988053316433377173895018793740052548266015018756763150731725385456332232982433576015547722563978072554378000015707071821371450842910648052930276764535303424167478747579771592484270800978561959411183367133498969236434846108865206764889977963554070295936092795484663326925724277620386077381551473009733178990983013487085676185144378484902884955972104873606558173086267499547566081780818064857671567480196001693236835136811036110768546793929610732909274227296407079545788520811837495181586420117807667033593394473
| 9546
|}

Although there are 1228 odd primes below 10000, only 21 of them are unique and 76 of them are bi-unique in binary.

A classic example of binary bi-unique primes are 

: 46817226351072265620777670675006972301618979214252832875068976303839400413682313921168154465151768472420980044715745858522803980473207943564433 (143 digits) 

and 

: 527739642811233917558838216073534609312522896254707972010583175760467054896492872702786549764052643493511382273226052631979775533936351462037464331880467187717179256707148303247 (177 digits)

they are the two prime factors of the [[Mersenne number]] 2<sup>1061</sup>−1. <ref>[https://homes.cerias.purdue.edu/~ssw/cun/ The Cunningham Project]</ref> Thus, the period<br/>length of them is 1061.

As of October 2016, the largest known probable binary bi-unique prime is <math>\frac{2^{5240707}-1}{75392810903}</math>, <ref>[http://www.primenumbers.net/prptop/searchform.php?form=%282%5Ea-1%29%2Fb&action=Search PRP records]</ref> it has a period<br/>length of 5240707 shares with only the prime 75392810903.

Similarly, we can define "tri-unique primes" as a triple of primes having a period<br/>length shared by no other primes. In binary, the first few tri-unique primes are:

{| class="wikitable" style="text-align:right"
!prime ''p''
!the only two other primes having the same period as ''p''
!period<br/>length
|- style="font-family:monospace;"
| 53
|157, 1613
| 52
|- style="font-family:monospace;"
| 101
|8101, 268501
| 100
|- style="font-family:monospace;"
| 103
|2143, 11119
| 51
|- style="font-family:monospace;"
| 131
|409891, 7623851
| 130
|- style="font-family:monospace;"
| 137
|953, 26317
| 68
|- style="font-family:monospace;"
| 157
|53, 1613
| 52
|- style="font-family:monospace;"
| 163
|135433, 272010961
| 162
|- style="font-family:monospace;"
| 179
|62020897, 18584774046020617
| 178
|- style="font-family:monospace;"
| 181
|54001, 29247661
| 180
|- style="font-family:monospace;"
| 191
|420778751, 30327152671
| 95
|- style="font-family:monospace;"
| 197
|19707683773, 4981857697937
| 196
|- style="font-family:monospace;"
| 199
|153649, 33057806959
| 99
|- style="font-family:monospace;"
| 211
|664441, 1564921
| 210
|- style="font-family:monospace;"
| 229
|457, 525313
| 76
|- style="font-family:monospace;"
| 233
|1103, 2089
| 29
|- style="font-family:monospace;"
| 271
|348031, 49971617830801
| 135
|- style="font-family:monospace;"
| 307
|2857, 6529
| 102
|- style="font-family:monospace;"
| 317
|381364611866507317969, 604462909806215075725313
| 316
|- style="font-family:monospace;"
| 359
|1433, 1489459109360039866456940197095433721664951999121
| 179
|- style="font-family:monospace;"
| 367
|55633, 37201708625305146303973352041
| 183
|- style="font-family:monospace;"
| 373
|951088215727633, 4611545283086450689
| 372
|- style="font-family:monospace;"
| 419
|3410623284654639440707, 1607792018780394024095514317003
| 418
|- style="font-family:monospace;"
| 421
|146919792181, 1041815865690181
| 420
|- style="font-family:monospace;"
| 431
|9719, 2099863
| 43
|- style="font-family:monospace;"
| 439
|2298041, 9361973132609
| 73
|- style="font-family:monospace;"
| 443
|4714692062809, 4507513575406446515845401458366741487526913
| 442
|- style="font-family:monospace;"
| 457
|229, 525313
| 76
|- style="font-family:monospace;"
| 467
|27961, 352369374013660139472574531568890678155040563007620742839120913
| 466
|- style="font-family:monospace;"
| 491
|15162868758218274451, 50647282035796125885000330641
| 490
|}

In binary, the smallest ''n''-unique prime are

:3, 23, 53, 149, 269, 461, 619, 389, ...

In binary, the period length of odd primes are: {{OEIS|id=A014664}}

{| class="wikitable" style="text-align:right"
!prime
!period<br/>length
!prime
!period<br/>length
!prime
!period<br/>length
!prime
!period<br/>length
!prime
!period<br/>length
!prime
!period<br/>length
!prime
!period<br/>length
|- style="font-family:monospace;"
| 3
| 2
| 79
| 39
| 181
| 180
| 293
| 292
| 421
| 420
| 557
| 556
| 673
| 48
|- style="font-family:monospace;"
| 5
| 4
| 83
| 82
| 191
| 95
| 307
| 102
| 431
| 43
| 563
| 562
| 677
| 676
|- style="font-family:monospace;"
| 7
| 3
| 89
| 11
| 193
| 96
| 311
| 155
| 433
| 72
| 569
| 284
| 683
| 22
|- style="font-family:monospace;"
| 11
| 10
| 97
| 48
| 197
| 196
| 313
| 156
| 439
| 73
| 571
| 114
| 691
| 230
|- style="font-family:monospace;"
| 13
| 12
| 101
| 100
| 199
| 99
| 317
| 316
| 443
| 442
| 577
| 144
| 701
| 700
|- style="font-family:monospace;"
| 17
| 8
| 103
| 51
| 211
| 210
| 331
| 30
| 449
| 224
| 587
| 586
| 709
| 708
|- style="font-family:monospace;"
| 19
| 18
| 107
| 106
| 223
| 37
| 337
| 21
| 457
| 76
| 593
| 148
| 719
| 359
|- style="font-family:monospace;"
| 23
| 11
| 109
| 36
| 227
| 226
| 347
| 346
| 461
| 460
| 599
| 299
| 727
| 121
|- style="font-family:monospace;"
| 29
| 28
| 113
| 28
| 229
| 76
| 349
| 348
| 463
| 231
| 601
| 25
| 733
| 244
|- style="font-family:monospace;"
| 31
| 5
| 127
| 7
| 233
| 29
| 353
| 88
| 467
| 466
| 607
| 303
| 739
| 246
|- style="font-family:monospace;"
| 37
| 36
| 131
| 130
| 239
| 119
| 359
| 179
| 479
| 239
| 613
| 612
| 743
| 371
|- style="font-family:monospace;"
| 41
| 20
| 137
| 68
| 241
| 24
| 367
| 183
| 487
| 243
| 617
| 154
| 751
| 375
|- style="font-family:monospace;"
| 43
| 14
| 139
| 138
| 251
| 50
| 373
| 372
| 491
| 490
| 619
| 618
| 757
| 756
|- style="font-family:monospace;"
| 47
| 23
| 149
| 148
| 257
| 16
| 379
| 378
| 499
| 166
| 631
| 45
| 761
| 380
|- style="font-family:monospace;"
| 53
| 52
| 151
| 15
| 263
| 131
| 383
| 191
| 503
| 251
| 641
| 64
| 769
| 384
|- style="font-family:monospace;"
| 59
| 58
| 157
| 52
| 269
| 268
| 389
| 388
| 509
| 508
| 643
| 214
| 773
| 772
|- style="font-family:monospace;"
| 61
| 60
| 163
| 162
| 271
| 135
| 397
| 44
| 521
| 260
| 647
| 323
| 787
| 786
|- style="font-family:monospace;"
| 67
| 66
| 167
| 83
| 277
| 92
| 401
| 200
| 523
| 522
| 653
| 652
| 797
| 796
|- style="font-family:monospace;"
| 71
| 35
| 173
| 172
| 281
| 70
| 409
| 204
| 541
| 540
| 659
| 658
| 809
| 404
|- style="font-family:monospace;"
| 73
| 9
| 179
| 178
| 283
| 94
| 419
| 418
| 547
| 546
| 661
| 660
| 811
| 270
|}

In binary, the primes with given period length are: {{OEIS|id=A108974}}

{| class="wikitable" style="text-align:right"
!period<br/>length
!prime(s)
!period<br/>length
!prime(s)
!period<br/>length
!prime(s)
!period<br/>length
!prime(s)
|- style="font-family:monospace;"
| 1
| (none)
| 26
| 2731
| 51
| 103, 2143, 11119
| 76
| 229, 457, 525313
|- style="font-family:monospace;"
| 2
| 3
| 27
| 262657
| 52
| 53, 157, 1613
| 77
| 581283643249112959
|- style="font-family:monospace;"
| 3
| 7
| 28
| 29, 113
| 53
| 6361, 69431, 20394401
| 78
| 22366891
|- style="font-family:monospace;"
| 4
| 5
| 29
| 233, 1103, 2089
| 54
| 87211
| 79
| 2687, 202029703, 1113491139767
|- style="font-family:monospace;"
| 5
| 31
| 30
| 331
| 55
| 881, 3191, 201961
| 80
| 4278255361
|- style="font-family:monospace;"
| 6
| (none)
| 31
| 2147483647
| 56
| 15790321
| 81
| 2593, 71119, 97685839
|- style="font-family:monospace;"
| 7
| 127
| 32
| 65537
| 57
| 32377, 1212847
| 82
| 83, 8831418697
|- style="font-family:monospace;"
| 8
| 17
| 33
| 599479
| 58
| 59, 3033169
| 83
| 167, 57912614113275649087721
|- style="font-family:monospace;"
| 9
| 73
| 34
| 43691
| 59
| 179951, 3203431780337
| 84
| 1429, 14449
|- style="font-family:monospace;"
| 10
| 11
| 35
| 71, 122921
| 60
| 61, 1321
| 85
| 9520972806333758431
|- style="font-family:monospace;"
| 11
| 23, 89
| 36
| 37, 109
| 61
| 2305843009213693951
| 86
| 2932031007403
|- style="font-family:monospace;"
| 12
| 13
| 37
| 223, 616318177
| 62
| 715827883
| 87
| 4177, 9857737155463
|- style="font-family:monospace;"
| 13
| 8191
| 38
| 174763
| 63
| 92737, 649657
| 88
| 353, 2931542417
|- style="font-family:monospace;"
| 14
| 43
| 39
| 79, 121369
| 64
| 641, 6700417
| 89
| 618970019642690137449562111
|- style="font-family:monospace;"
| 15
| 151
| 40
| 61681
| 65
| 145295143558111
| 90
| 18837001
|- style="font-family:monospace;"
| 16
| 257
| 41
| 13367, 164511353
| 66
| 67, 20857
| 91
| 911, 112901153, 23140471537
|- style="font-family:monospace;"
| 17
| 131071
| 42
| 5419
| 67
| 193707721, 761838257287
| 92
| 277, 1013, 1657, 30269
|- style="font-family:monospace;"
| 18
| 19
| 43
| 431, 9719, 2099863
| 68
| 137, 953, 26317
| 93
| 658812288653553079
|- style="font-family:monospace;"
| 19
| 524287
| 44
| 397, 2113
| 69
| 10052678938039
| 94
| 283, 165768537521
|- style="font-family:monospace;"
| 20
| 41
| 45
| 631, 23311
| 70
| 281, 86171
| 95
| 191, 420778751, 30327152671
|- style="font-family:monospace;"
| 21
| 337
| 46
| 2796203
| 71
| 228479, 48544121, 212885833
| 96
| 193, 22253377
|- style="font-family:monospace;"
| 22
| 683
| 47
| 2351, 4513, 13264529
| 72
| 433, 38737
| 97
| 11447, 13842607235828485645766393
|- style="font-family:monospace;"
| 23
| 47, 178481
| 48
| 97, 673
| 73
| 439, 2298041, 9361973132609
| 98
| 4363953127297
|- style="font-family:monospace;"
| 24
| 241
| 49
| 4432676798593
| 74
| 1777, 25781083
| 99
| 199, 153649, 33057806959
|- style="font-family:monospace;"
| 25
| 601, 1801
| 50
| 251, 4051
| 75
| 100801, 10567201
| 100
| 101, 8101, 268501
|}

== Period lengths ==
{{Cot|Table of period lengths from 1 to 100 (unique primes are bold)}}
{| class="wikitable mw-collapsible"
!Period 
length
!Primes
!Period 
length
!Primes
!Period 
length
!Primes
!Period 
length
!Primes
!Period 
length
!Primes
|-
|1
|'''3'''
|21
|43, 1933, 10838689
|41
|83, 1231, 538987, 201763709900322803748657942361
|61
|733, 4637, 329401, 974293, 1360682471, 106007173861643, 7061709990156159479
|81
|163, 9397, 2462401, 676421558270641, 130654897808007778425046117
|-
|2
|'''11'''
|22
|23, 4093, 8779
|42
|127, 2689, 459691
|62
|'''909090909090909090909090909091'''
|82
|2670502781396266997, 3404193829806058997303
|-
|3
|'''37'''
|23
|'''11111111111111111111111'''
|43
|173, 1527791, 1963506722254397, 2140992015395526641
|63
|10837, 23311, 45613, 45121231, 1921436048294281
|83
|3367147378267, 9512538508624154373682136329, 346895716385857804544741137394505425384477
|-
|4
|'''101'''
|24
|'''99990001'''
|44
|89, 1052788969, 1056689261
|64
|19841, 976193, 6187457, 834427406578561
|84
|226549, 4458192223320340849
|-
|5
|41, 271
|25
|21401, 25601, 182521213001
|45
|238681, 4185502830133110721
|65
|162503518711, 5538396997364024056286510640780600481
|85
|262533041, 8119594779271, 4222100119405530170179331190291488789678081
|-
|6
|7, 13
|26
|859, 1058313049
|46
|47, 139, 2531, 549797184491917
|66
|599144041, 183411838171
|86
|57009401, 2182600451, 7306116556571817748755241
|-
|7
|239, 4649
|27
|757, 440334654777631
|47
|35121409, 316362908763458525001406154038726382279
|67
|493121, 79863595778924342083, 28213380943176667001263153660999177245677
|87
|4003, 72559, 310170251658029759045157793237339498342763245483
|-
|8
|73, 137
|28
|29, 281, 121499449
|48
|'''9999999900000001'''
|68
|28559389, 1491383821, 2324557465671829
|88
|617, 16205834846012967584927082656402106953
|-
|9
|'''333667'''
|29
|3191, 16763, 43037, 62003, 77843839397
|49
|505885997, 1976730144598190963568023014679333
|69
|277, 203864078068831, 1595352086329224644348978893
|89
|497867, 103733951, 104984505733, 5078554966026315671444089, 403513310222809053284932818475878953159
|-
|10
|'''9091'''
|30
|211, 241, 2161
|50
|251, 5051, 78875943472201
|70
|4147571, 265212793249617641
|90
|29611, 3762091, 8985695684401
|-
|11
|21649, 513239
|31
|2791, 6943319, 57336415063790604359
|51
|613, 210631, 52986961, 13168164561429877
|71
|241573142393627673576957439049, 45994811347886846310221728895223034301839
|91
|547, 14197, 17837, 4262077, 43442141653, 316877365766624209, 110742186470530054291318013
|-
|12
|'''9901'''
|32
|353, 449, 641, 1409, 69857
|52
|521, 1900381976777332243781
|72
|3169, 98641, 3199044596370769
|92
|1289, 18371524594609, 4181003300071669867932658901
|-
|13
|53, 79, 265371653
|33
|67, 1344628210313298373
|53
|107, 1659431, 1325815267337711173, 47198858799491425660200071
|73
|12171337159, 1855193842151350117, 49207341634646326934001739482502131487446637
|93
|'''900900900900900900900900900900990990990990990990990990990991'''
|-
|14
|'''909091'''
|34
|103, 4013, 21993833369
|54
|70541929, 14175966169
|74
|7253, 422650073734453, 296557347313446299
|94
|6299, 4855067598095567, 297262705009139006771611927
|-
|15
|31, 2906161
|35
|71, 123551, 102598800232111471
|55
|1321, 62921, 83251631, 1300635692678058358830121
|75
|151, 4201, 15763985553739191709164170940063151
|95
|191, 59281, 63841, 1289981231950849543985493631, 965194617121640791456070347951751
|-
|16
|17, 5882353
|36
|'''999999000001'''
|56
|7841, 127522001020150503761
|76
|722817036322379041, 1369778187490592461
|96
|97, 206209, 66554101249, 75118313082913
|-
|17
|2071723, 5363222357
|37
|2028119, 247629013, 2212394296770203368013
|57
|21319, 10749631, 3931123022305129377976519
|77
|5237, 42043, 29920507, 136614668576002329371496447555915740910181043
|97
|12004721, 92556179448994367391887834053878562534782033760810527051075248738484727059555245899601591
|-
|18
|19, 52579
|38
|'''909090909090909091'''
|58
|59, 154083204930662557781201849
|78
|157, 6397, 216451, 388847808493
|98
|197, 5076141624365532994918781726395939035533
|-
|19
|'''1111111111111111111'''
|39
|'''900900900900990990990991'''
|59
|2559647034361, 4340876285657460212144534289928559826755746751
|79
|317, 6163, 10271, 307627, 49172195536083790769, 3660574762725521461527140564875080461079917
|99
|199, 397, 34849, 362853724342990469324766235474268869786311886053883
|-
|20
|3541, 27961
|40
|1676321, 5964848081
|60
|61, 4188901, 39526741
|80
|5070721, 19721061166646717498359681
|100
|60101, 7019801, 14103673319201, 1680588011350901
|}
{{Cob}}

==Unique prime in various bases==
{|class="wikitable"
!base
!unique period length (searched up to 4096)
|-
|2||2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 27, 30, 31, 32, 33, 34, 38, 40, 42, 46, 49, 54, 56, 61, 62, 65, 69, 77, 78, 80, 85, 86, 89, 90, 93, 98, 107, 120, 122, 126, 127, 129, 133, 145, 147, 150, 158, 165, 170, 174, 184, 192, 195, 202, 208, 234, 254, 261, 280, 296, 312, 322, 334, 342, 345, 366, 374, 382, 398, 410, 414, 425, 447, 471, 507, 521, 550, 567, 579, 590, 600, 602, 607, 626, 690, 694, 712, 745, 795, 816, 889, 897, 909, 954, 990, 1106, 1192, 1224, 1230, 1279, 1384, 1386, 1402, 1464, 1512, 1554, 1562, 1600, 1670, 1683, 1727, 1781, 1834, 1904, 1990, 1992, 2008, 2037, 2203, 2281, 2298, 2353, 2406, 2456, 2499, 2536, 2838, 3006, 3074, 3217, 3415, 3418, 3481, 3766, 3817, 3927, ...
|-
|3||1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 20, 21, 24, 26, 32, 33, 36, 40, 46, 60, 63, 64, 70, 71, 72, 86, 103, 108, 128, 130, 132, 143, 145, 154, 161, 236, 255, 261, 276, 279, 287, 304, 364, 430, 464, 513, 528, 541, 562, 665, 672, 680, 707, 718, 747, 760, 782, 828, 875, 892, 974, 984, 987, 1037, 1058, 1070, 1073, 1080, 1091, 1154, 1248, 1367, 1426, 1440, 1462, 1524, 1598, 1623, 1627, 1863, 1985, 2132, 2188, 2196, 2340, 2460, 2508, 2626, 2640, 2739, 2856, 3092, 3158, 3262, 3315, 3326, 3482, 3638, 3982, 4018, 4036, ...
|-
|4||1, 2, 3, 4, 6, 8, 10, 12, 16, 20, 28, 40, 60, 92, 96, 104, 140, 148, 156, 300, 356, 408, 596, 612, 692, 732, 756, 800, 952, 996, 1004, 1228, 1268, 2240, 2532, 3060, 3796, 3824, 3944, ...
|-
|5||1, 2, 3, 4, 6, 7, 8, 10, 11, 12, 13, 18, 24, 28, 47, 48, 49, 56, 57, 88, 90, 92, 108, 110, 116, 120, 127, 134, 141, 149, 161, 171, 181, 198, 202, 206, 236, 248, 288, 357, 384, 420, 458, 500, 530, 536, 619, 620, 694, 798, 897, 929, 981, 992, 1064, 1134, 1230, 1670, 1807, 2094, 2162, 2369, 2516, 2649, 2988, 3407, 3888, ...
|-
|6||1, 2, 3, 4, 5, 6, 7, 8, 18, 21, 22, 24, 29, 30, 42, 50, 62, 71, 86, 90, 94, 118, 124, 127, 129, 144, 154, 186, 192, 214, 271, 354, 360, 411, 480, 509, 558, 575, 663, 764, 814, 825, 874, 1028, 1049, 1050, 1102, 1113, 1131, 1158, 1376, 1464, 1468, 1535, 1622, 1782, 1834, 1924, 2096, 2176, 2409, 2464, 2816, 3013, 3438, 3453, 3663, ...
|-
|7||3, 5, 6, 8, 13, 18, 21, 28, 30, 34, 36, 46, 48, 50, 54, 55, 58, 63, 76, 84, 94, 105, 122, 131, 148, 149, 224, 280, 288, 296, 332, 352, 456, 528, 531, 581, 650, 654, 730, 740, 759, 1026, 1047, 1065, 1460, 1660, 1699, 1959, 2067, 2260, 2380, 2665, 2890, 3238, 4020, ...
|-
|8||1, 2, 3, 6, 9, 18, 30, 42, 78, 87, 114, 138, 189, 303, 318, 330, 408, 462, 504, 561, 1002, 1389, 1746, 1794, 2040, 2418, 2790, 3894, 4077, ...
|-
|9||1, 2, 4, 6, 10, 12, 16, 18, 20, 30, 32, 36, 54, 64, 66, 118, 138, 152, 182, 232, 264, 336, 340, 380, 414, 446, 492, 540, 624, 720, 762, 1066, 1094, 1098, 1170, 1230, 1254, 1320, 1428, 1546, 2018, 2574, 2724, 2804, 2920, 3074, 3316, 3646, ...
|-
|10||1, 2, 3, 4, 9, 10, 12, 14, 19, 23, 24, 36, 38, 39, 48, 62, 93, 106, 120, 134, 150, 196, 294, 317, 320, 385, 586, 597, 654, 738, 945, 1031, 1172, 1282, 1404, 1426, 1452, 1521, 1752, 1812, 1836, 1844, 1862, 2134, 2232, 2264, 2667, 3750, 3903, 3927, ...
|-
|11||2, 4, 5, 6, 8, 9, 10, 14, 15, 17, 18, 19, 20, 27, 36, 42, 45, 52, 60, 73, 91, 104, 139, 205, 234, 246, 318, 358, 388, 403, 458, 552, 810, 855, 878, 907, 1114, 1131, 1220, 1272, 1431, 1470, 1568, 1614, 1688, 1696, 1907, 2029, 2136, 2288, 2535, 2577, ...
|-
|12||1, 2, 3, 5, 10, 12, 19, 20, 21, 22, 56, 60, 63, 70, 80, 84, 92, 97, 109, 111, 123, 164, 189, 218, 276, 317, 353, 364, 386, 405, 456, 511, 636, 675, 701, 793, 945, 1090, 1268, 1272, 1971, 2088, 2368, 2482, 2893, 2966, 3290, ...
|-
|13||2, 3, 5, 6, 7, 8, 9, 12, 16, 22, 24, 28, 33, 34, 38, 78, 80, 102, 137, 140, 147, 224, 230, 283, 304, 341, 360, 372, 384, 418, 420, 436, 483, 568, 570, 594, 737, 744, 855, 883, 991, 1021, 1193, 1222, 1615, 1628, 1838, 2032, 2146, 2302, 2530, 2830, 2958, 3030, 3528, 3671, 3885, ...
|-
|14||1, 3, 4, 6, 7, 14, 19, 24, 31, 33, 35, 36, 41, 55, 60, 106, 114, 129, 152, 153, 172, 222, 265, 286, 400, 448, 560, 584, 864, 1006, 1335, 1363, 1520, 1536, 1659, 1862, 1925, 2332, 2458, 2687, 3381, 3512, 3870, 3976, ...
|-
|15||3, 4, 6, 7, 14, 24, 43, 54, 58, 73, 85, 93, 102, 184, 220, 221, 228, 232, 247, 291, 305, 486, 487, 505, 551, 552, 590, 1029, 1194, 1274, 1406, 1444, 1532, 1548, 1748, 1986, 2093, 2182, 2202, 2579, 2781, 3054, 3239, 3696, ...
|-
|16||2, 4, 6, 8, 10, 14, 20, 30, 46, 48, 52, 70, 74, 78, 150, 178, 204, 298, 306, 346, 366, 378, 400, 476, 498, 502, 614, 634, 1120, 1266, 1530, 1898, 1912, 1972, 2548, 2770, 3738, 3850, ...
|-
|17||1, 2, 3, 5, 7, 8, 11, 12, 14, 15, 34, 42, 46, 47, 48, 50, 71, 77, 94, 110, 114, 147, 154, 176, 228, 235, 258, 275, 338, 350, 419, 450, 480, 515, 589, 624, 666, 716, 724, 810, 815, 1232, 1490, 1934, 2106, 2391, 2732, 2904, 3462, 3912, 4053, ...
|-
|18||1, 2, 3, 6, 14, 17, 21, 24, 30, 33, 38, 45, 46, 72, 78, 114, 146, 168, 288, 414, 440, 448, 665, 792, 801, 816, 975, 1165, 1176, 1267, 1466, 1513, 1882, 1920, 1998, 2194, 2272, 2643, 2800, 2946, 3434, 3504, 3813, 3866, 3957, ...
|-
|19||2, 3, 4, 6, 19, 20, 31, 34, 47, 56, 59, 61, 70, 74, 91, 92, 96, 98, 107, 120, 145, 156, 168, 242, 276, 314, 326, 337, 387, 565, 602, 612, 892, 984, 1061, 1067, 1079, 1262, 1328, 2356, 3033, 3419, 3501, 3963, ...
|-
|20||1, 3, 4, 6, 8, 9, 10, 11, 17, 30, 98, 100, 110, 126, 154, 158, 160, 168, 178, 182, 228, 266, 270, 280, 340, 416, 480, 574, 774, 980, 1052, 1139, 1338, 1418, 1474, 1487, 1594, 1902, 2326, 3112, 3520, 3808, 3830, ...
|-
|21||2, 3, 5, 6, 8, 9, 10, 11, 14, 17, 26, 43, 64, 74, 81, 104, 192, 271, 321, 335, 348, 404, 437, 445, 516, 671, 694, 788, 1788, 1943, 2343, 2742, 3031, 3135, ...
|-
|22||2, 5, 6, 7, 10, 21, 25, 26, 69, 79, 86, 93, 100, 101, 154, 158, 161, 171, 202, 214, 294, 354, 359, 424, 454, 602, 687, 706, 744, 857, 1028, 1074, 1136, 1150, 1345, 1408, 1525, 1572, 1578, 1988, 2142, 2665, ...
|-
|23||2, 5, 8, 11, 15, 22, 26, 39, 42, 45, 54, 56, 132, 134, 145, 147, 196, 212, 218, 252, 343, 580, 662, 816, 820, 846, 1078, 1092, 1174, 1189, 1548, 1632, 2040, 2180, 2348, 2732, 3100, 3181, 4010, ...
|-
|24||1, 2, 3, 4, 5, 8, 14, 19, 22, 38, 45, 53, 54, 70, 71, 117, 140, 144, 169, 186, 192, 195, 196, 430, 653, 661, 744, 834, 855, 870, 927, 1128, 1158, 1390, 1516, 1555, 1617, 1844, 2022, 2060, 2208, 2812, 3153, 3952, ...
|-
|25||2, 4, 6, 12, 14, 24, 28, 44, 46, 54, 58, 60, 118, 124, 144, 192, 210, 250, 268, 310, 496, 532, 1258, 1494, 1944, 2050, 2498, 2728, 3324, 3418, 3646, 3862, 4014, ...
|-
|26||1, 2, 4, 7, 9, 18, 20, 22, 24, 30, 43, 69, 132, 140, 186, 200, 210, 218, 267, 347, 454, 495, 554, 585, 645, 694, 980, 1028, 1060, 1098, 1432, 1714, 1828, 3513, 3786, ...
|-
|27||2, 3, 12, 21, 24, 36, 87, 93, 171, 249, 276, 360, 480, 621, 732, 780, 1716, 3843, ...
|-
|28||1, 2, 3, 5, 6, 8, 17, 21, 38, 81, 91, 96, 102, 132, 148, 156, 240, 258, 260, 276, 457, 464, 465, 500, 506, 535, 684, 746, 838, 930, 982, 1015, 1189, 1296, 1335, 1345, 1390, 1423, 2062, 2723, 2893, 3078, ...
|-
|29||4, 5, 6, 7, 8, 14, 30, 32, 39, 45, 50, 76, 116, 151, 222, 357, 402, 462, 570, 588, 636, 671, 695, 844, 1498, 1650, 1770, 3175, 3195, 3312, 3538, 3719, ...
|-
|30||1, 2, 5, 9, 11, 12, 21, 36, 51, 64, 91, 163, 174, 195, 230, 278, 318, 342, 346, 424, 530, 569, 578, 795, 984, 1094, 1167, 1335, 1564, 1605, 1658, 1789, 2159, 2204, 2225, 3366, 3458, 3615, ...
|-
|31||3, 7, 12, 17, 24, 30, 31, 33, 40, 176, 218, 308, 404, 420, 630, 693, 890, 915, 922, 1475, 2122, 2185, 2487, 2541, 2907, 3387, 4055, ...
|-
|32||1, 6, 30, 85, 110, 120, 320, 1050, 1065, 1385, 2490, 3080, 3920, ...
|-
|33||1, 2, 3, 10, 16, 25, 28, 30, 35, 36, 45, 56, 76, 87, 110, 134, 135, 197, 200, 220, 228, 314, 324, 330, 396, 498, 583, 624, 725, 806, 940, 1145, 1240, 1644, 1750, 2171, 2268, 2675, 2781, 2790, 2808, 3581, ...
|-
|34||3, 6, 8, 10, 13, 20, 24, 56, 87, 154, 164, 196, 282, 363, 428, 652, 744, 780, 860, 902, 952, 1178, 1493, 1540, 1643, 1904, 2184, 2277, 2468, 2943, ...
|-
|35||2, 4, 6, 8, 18, 21, 22, 26, 42, 128, 154, 158, 170, 180, 184, 192, 254, 313, 450, 624, 737, 762, 798, 874, 912, 1002, 1006, 1098, 1234, 1297, 1418, 1714, 1926, 2325, 2343, 2368, 2998, 3567, 4064, ...
|-
|36||2, 4, 12, 62, 72, 96, 180, 240, 382, 514, 688, 732, 734, 962, 1048, 1088, 1232, 1408, 2088, 2176, 2248, 2724, 3180, ...
|}

{|class="wikitable"
|''n''
|bases such that there is unique prime with period ''n''
|-
|1||3, 4, 5, 6, 8, 10, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 54, 60, 62, 68, 72, 74, 80, 84, 90, 98, 102, 104, 108, 110, 114, 128, 132, 138, 140, 150, 152, 158, 164, 168, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240, 242, 252, 258, 264, 270, 272, 278, 282, 284, 294, 308, 312, 314, 318, 332, 338, 348, 350, 354, 360, 368, 374, 380, 384, 390, 398, 402, 410, 420, 422, 432, 434, 440, 444, 450, 458, 462, 464, 468, 480, 488, 492, 500, 504, 510, 522, 524, 542, 548, 558, 564, 570, 572, 578, 588, 594, 600, 602, 608, 614, 618, 620, 632, 642, 644, 648, 654, 660, 662, 674, 678, 684, 692, 702, 710, 720, 728, 734, 740, 744, 752, 758, 762, 770, 774, 788, 798, 810, 812, 822, 824, 828, 830, 840, 854, 858, 860, 864, 878, 882, 884, 888, 908, 912, 920, 930, 938, 942, 948, 954, 968, 972, 978, 984, 992, 998, 1010, 1014, 1020, 1022, 1032, 1034, 1040, 1050, 1052, 1062, 1064, 1070, 1088, 1092, 1094, 1098, 1104, 1110, 1118, 1124, 1130, 1152, 1154, 1164, 1172, 1182, 1188, 1194, 1202, 1214, 1218, 1224, 1230, 1232, 1238, 1250, 1260, 1278, 1280, 1284, 1290, 1292, 1298, 1302, 1304, 1308, 1320, 1322, 1328, 1362, 1368, 1374, 1382, 1400, 1410, 1424, 1428, 1430, 1434, 1440, 1448, 1452, 1454, 1460, 1472, 1482, 1484, 1488, 1490, 1494, 1500, 1512, 1524, 1532, 1544, 1550, 1554, 1560, 1568, 1572, 1580, 1584, 1598, 1602, 1608, 1610, 1614, 1620, 1622, 1628, 1638, 1658, 1664, 1668, 1670, 1694, 1698, 1700, 1710, 1722, 1724, 1734, 1742, 1748, 1754, 1760, 1778, 1784, 1788, 1790, 1802, 1812, 1824, 1832, 1848, 1862, 1868, 1872, 1874, 1878, 1880, 1890, 1902, 1908, 1914, 1932, 1934, 1950, 1952, 1974, 1980, 1988, 1994, 1998, 2000, 2004, 2012, 2018, 2028, 2030, 2040, 2054, 2064, 2070, 2082, 2084, 2088, 2090, 2100, 2112, 2114, 2130, 2132, 2138, 2142, 2144, 2154, 2162, 2180, 2204, 2208, 2214, 2222, 2238, 2240, 2244, 2252, 2268, 2270, 2274, 2282, 2288, 2294, 2298, 2310, 2312, 2334, 2340, 2342, 2348, 2352, 2358, 2372, 2378, 2382, 2384, 2390, 2394, 2400, 2412, 2418, 2424, 2438, 2442, 2448, 2460, 2468, 2474, 2478, ...
|-
|2||2, 4, 5, 6, 9, 10, 11, 12, 13, 16, 18, 19, 21, 22, 23, 25, 27, 28, 30, 33, 36, 37, 39, 40, 42, 43, 45, 46, 47, 51, 52, 55, 57, 58, 60, 61, 66, 67, 70, 72, 73, 75, 78, 79, 81, 82, 85, 87, 88, 91, 93, 95, 96, 100, 102, 103, 105, 106, 108, 111, 112, 115, 117, 121, 123, 126, 130, 133, 135, 136, 138, 141, 145, 147, 148, 150, 151, 156, 157, 159, 162, 163, 165, 166, 171, 172, 175, 177, 178, 180, 183, 187, 190, 191, 192, 193, 196, 198, 201, 205, 207, 210, 211, 213, 217, 222, 223, 225, 226, 228, 231, 232, 235, 238, 240, 243, 247, 250, 253, 256, 261, 262, 267, 268, 270, 271, 273, 276, 277, 280, 282, 283, 291, 292, 295, 297, 301, 303, 306, 310, 312, 313, 315, 316, 319, 325, 327, 330, 331, 333, 336, 343, 345, 346, 348, 351, 352, 355, 357, 358, 361, 366, 367, 372, 375, 378, 381, 382, 383, 385, 387, 388, 393, 396, 397, 400, 403, 408, 411, 415, 418, 420, 421, 423, 427, 430, 432, 435, 438, 442, 445, 447, 448, 451, 453, 456, 457, 460, 462, 463, 465, 466, 471, 477, 478, 481, 486, 487, 490, 495, 498, 501, 502, 507, 508, 513, 520, 522, 523, 525, 535, 537, 540, 541, 543, 546, 547, 553, 555, 556, 561, 562, 565, 567, 568, 570, 576, 583, 585, 586, 591, 592, 595, 598, 600, 603, 606, 607, 612, 613, 616, 618, 621, 625, 627, 630, 631, 633, 639, 640, 642, 646, 651, 652, 655, 658, 660, 661, 663, 667, 672, 673, 676, 682, 687, 690, 691, 693, 697, 700, 703, 705, 708, 711, 715, 717, 718, 723, 726, 732, 733, 735, 738, 742, 745, 750, 751, 756, 757, 760, 763, 765, 767, 768, 771, 772, 775, 777, 786, 787, 793, 795, 796, 801, 807, 808, 810, 817, 820, 822, 823, 826, 828, 831, 837, 838, 841, 843, 847, 852, 855, 856, 858, 861, 862, 865, 871, 876, 877, 880, 882, 885, 886, 891, 895, 897, 903, 906, 907, 910, 913, 915, 918, 921, 925, 927, 928, 931, 933, 936, 940, 943, 946, 952, 955, 957, 963, 966, 970, 973, 975, 976, 981, 982, 990, 991, 996, 997, 1003, 1005, 1008, 1012, 1015, 1017, 1018, 1020, 1027, 1030, 1032, 1038, 1041, 1045, 1047, 1048, 1050, 1051, 1060, 1062, 1068, 1071, 1075, 1081, 1083, 1086, 1087, 1090, 1092, 1093, 1095, 1096, 1102, 1107, 1108, 1111, 1113, 1116, 1122, 1123, 1125, 1128, 1131, 1135, 1137, 1141, 1150, 1152, 1153, 1162, 1167, 1170, 1171, 1173, 1180, 1183, 1185, 1186, 1191, 1192, 1197, 1200, 1201, 1207, 1212, 1213, 1215, 1216, 1222, 1225, 1227, 1228, 1230, 1233, 1236, 1237, 1243, 1248, 1251, 1255, 1258, 1261, 1263, 1267, 1276, 1278, 1279, 1281, 1282, 1285, 1288, 1290, 1293, 1296, 1300, 1302, 1303, 1305, 1306, 1311, 1317, 1318, 1320, 1321, 1323, 1326, 1327, 1335, 1345, 1347, 1353, 1360, 1365, 1366, 1372, 1375, 1380, 1381, 1383, 1387, 1395, 1398, 1401, 1407, 1408, 1411, 1417, 1422, 1423, 1426, 1428, 1431, 1432, 1435, 1437, 1438, 1446, 1447, 1450, 1452, 1453, 1458, 1465, 1467, 1470, 1471, 1477, 1480, 1482, 1485, 1486, 1488, 1491, 1492, 1498, 1501, 1503, 1510, 1513, 1515, 1521, 1522, 1527, 1530, 1531, 1535, 1537, 1542, 1543, 1545, 1548, 1551, 1552, 1555, 1558, 1566, 1570, 1573, 1575, 1578, 1582, 1587, 1591, 1593, 1596, 1600, 1603, 1606, 1608, 1612, 1615, 1617, 1618, 1620, 1621, 1626, 1635, 1636, 1641, 1645, 1647, 1653, 1656, 1657, 1662, 1663, 1666, 1668, 1675, 1677, 1683, 1687, 1692, 1695, 1696, 1698, 1705, 1708, 1711, 1713, 1717, 1720, 1722, 1723, 1725, 1731, 1732, 1740, 1743, 1746, 1752, 1753, 1755, 1758, 1761, 1765, 1771, 1773, 1776, 1782, 1783, 1786, 1788, 1791, 1795, 1800, 1807, 1810, 1813, 1815, 1821, 1822, 1827, 1830, 1831, 1837, 1843, 1846, 1851, 1855, 1857, 1860, 1863, 1866, 1867, 1870, 1872, 1873, 1876, 1878, 1881, 1887, 1888, 1893, 1900, 1905, 1906, 1911, 1912, 1915, 1927, 1930, 1932, 1933, 1941, 1947, 1948, 1950, 1951, 1953, 1963, 1965, 1972, 1978, 1981, 1983, 1986, 1992, 1993, 1995, 1996, 1998, 2002, 2007, 2010, 2011, 2016, 2017, 2025, 2026, 2028, 2031, 2035, 2037, 2038, 2041, 2052, 2055, 2061, 2062, 2065, 2068, 2077, 2080, 2082, 2083, 2086, 2088, 2091, 2095, 2097, 2098, 2101, 2103, 2110, 2112, 2121, 2125, 2128, 2130, 2136, 2137, 2140, 2142, 2143, 2151, 2152, 2160, 2163, 2167, 2173, 2175, 2178, 2181, 2185, 2187, 2191, 2193, 2202, 2205, 2206, 2212, 2215, 2217, 2220, 2223, 2227, 2233, 2236, 2238, 2242, 2245, 2247, 2250, 2251, 2257, 2263, 2266, 2268, 2271, 2272, 2275, 2280, 2283, 2286, 2292, 2296, 2301, 2305, 2307, 2308, 2310, 2325, 2332, 2335, 2338, 2340, 2341, 2343, 2346, 2347, 2350, 2356, 2361, 2367, 2370, 2371, 2373, 2376, 2380, 2382, 2383, 2385, 2388, 2392, 2395, 2398, 2401, 2403, 2410, 2415, 2416, 2422, 2425, 2427, 2431, 2433, 2436, 2440, 2445, 2446, 2451, 2455, 2457, 2458, 2461, 2466, 2467, 2472, 2473, 2475, 2476, 2487, 2497, ...
|-
|3||2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17, 19, 20, 21, 24, 27, 28, 31, 33, 34, 38, 40, 41, 43, 50, 52, 54, 57, 59, 62, 66, 69, 70, 71, 73, 75, 76, 77, 78, 80, 82, 85, 89, 90, 91, 97, 99, 101, 103, 105, 110, 111, 112, 115, 117, 119, 124, 127, 131, 136, 138, 141, 143, 145, 147, 148, 150, 153, 155, 157, 161, 162, 164, 166, 167, 168, 173, 175, 176, 187, 188, 189, 190, 192, 194, 199, 202, 203, 206, 209, 215, 218, 223, 231, 236, 241, 244, 245, 246, 259, 265, 266, 271, 272, 274, 278, 279, 280, 286, 287, 288, 290, 293, 309, 314, 316, 325, 329, 332, 336, 342, 344, 348, 351, 357, 358, 369, 370, 376, 378, 381, 383, 385, 388, 392, 395, 398, 402, 404, 405, 409, 414, 416, 421, 426, 427, 434, 435, 442, 447, 453, 455, 456, 460, 469, 472, 475, 476, 489, 493, 495, 496, 500, 511, 512, 514, 517, 518, 525, 526, 530, 531, 533, 537, 538, 540, 551, 553, 554, 556, 559, 560, 566, 567, 572, 574, 579, 580, 582, 584, 586, 589, 603, 605, 609, 612, 616, 621, 622, 624, 626, 628, 635, 637, 642, 644, 649, 658, 661, 668, 671, 673, 677, 682, 686, 696, 700, 701, 712, 715, 720, 726, 727, 728, 735, 736, 743, 747, 754, 755, 761, 762, 768, 773, 775, 778, 782, 785, 792, 798, 799, 801, 812, 818, 819, 825, 827, 832, 836, 838, 839, 846, 850, 855, 857, 859, 860, 864, 868, 875, 878, 883, 889, 890, 894, 895, 897, 899, 910, 911, 915, 916, 918, 920, 922, 925, 927, 937, 943, 946, 950, 959, 960, 964, 969, 974, 981, 987, 990, 992, 993, 994, 1000, 1001, 1002, 1006, 1007, 1011, 1016, 1020, 1021, 1022, 1027, 1029, 1039, 1041, 1051, 1057, 1058, 1060, 1063, 1065, 1067, 1070, 1072, 1074, 1077, 1078, 1091, 1092, 1093, 1097, 1098, 1105, 1107, 1116, 1118, 1125, 1126, 1130, 1133, 1142, 1144, 1146, 1148, 1149, 1163, 1165, 1174, 1181, 1182, 1191, 1193, 1195, 1196, 1198, 1200, 1202, 1209, 1216, 1217, 1221, 1230, 1252, 1254, 1256, 1258, 1260, 1263, 1272, 1274, 1275, 1281, 1288, 1295, 1308, 1312, 1314, 1317, 1323, 1324, 1330, 1331, 1333, 1336, 1340, 1343, 1345, 1349, 1351, 1352, 1354, 1359, 1363, 1364, 1365, 1372, 1373, 1380, 1386, 1392, 1396, 1401, 1405, 1414, 1415, 1421, 1422, 1427, 1434, 1438, 1440, 1441, 1442, 1443, 1447, 1448, 1449, 1454, 1456, 1473, 1475, 1483, 1484, 1487, 1492, 1494, 1505, 1510, 1515, 1519, 1520, 1522, 1526, 1529, 1534, 1536, 1539, 1540, 1547, 1548, 1559, 1560, 1561, 1562, 1566, 1568, 1573, 1581, 1583, 1585, 1590, 1592, 1594, 1596, 1609, 1611, 1616, 1620, 1624, 1630, 1632, 1639, 1644, 1646, 1650, 1651, 1657, 1658, 1659, 1665, 1666, 1669, 1672, 1676, 1678, 1685, 1690, 1692, 1695, 1700, 1701, 1707, 1708, 1709, 1711, 1716, 1718, 1720, 1723, 1729, 1746, 1748, 1750, 1753, 1757, 1762, 1767, 1770, 1788, 1795, 1800, 1804, 1806, 1809, 1811, 1814, 1818, 1825, 1826, 1828, 1832, 1837, 1841, 1847, 1848, 1853, 1861, 1863, 1879, 1882, 1886, 1895, 1902, 1909, 1923, 1931, 1932, 1939, 1952, 1956, 1960, 1963, 1970, 1973, 1974, 1977, 1982, 1986, 1993, 1994, 1996, 2000, 2010, 2015, 2016, 2022, 2029, 2033, 2043, 2049, 2054, 2056, 2058, 2064, 2065, 2068, 2073, 2075, 2079, 2080, 2085, 2086, 2091, 2105, 2107, 2110, 2112, 2117, 2129, 2136, 2138, 2140, 2142, 2145, 2157, 2159, 2162, 2163, 2168, 2170, 2171, 2176, 2183, 2191, 2194, 2197, 2201, 2203, 2204, 2205, 2227, 2233, 2236, 2238, 2241, 2247, 2255, 2259, 2260, 2262, 2264, 2273, 2275, 2276, 2280, 2290, 2296, 2301, 2303, 2309, 2313, 2318, 2324, 2339, 2345, 2353, 2359, 2360, 2364, 2372, 2373, 2380, 2385, 2387, 2390, 2397, 2402, 2409, 2411, 2422, 2429, 2430, 2435, 2437, 2442, 2446, 2450, 2451, 2455, 2456, 2463, 2464, 2465, 2470, 2471, 2476, 2478, 2483, 2484, 2491, 2493, 2495, 2497, 2498, ...
|-
|4||2, 3, 4, 5, 6, 9, 10, 11, 14, 15, 16, 19, 20, 24, 25, 26, 29, 35, 36, 39, 40, 45, 49, 51, 54, 56, 59, 61, 65, 66, 69, 71, 74, 79, 84, 85, 90, 94, 95, 101, 110, 116, 120, 121, 124, 126, 130, 131, 134, 139, 141, 145, 146, 150, 156, 159, 160, 165, 169, 170, 171, 175, 176, 180, 181, 184, 195, 199, 201, 204, 205, 206, 209, 210, 219, 221, 224, 230, 231, 236, 240, 245, 250, 256, 260, 261, 264, 270, 271, 275, 279, 280, 284, 289, 299, 300, 306, 309, 314, 315, 321, 325, 326, 329, 335, 340, 345, 349, 350, 371, 375, 379, 384, 386, 391, 396, 399, 400, 405, 406, 409, 415, 420, 425, 430, 435, 436, 440, 441, 444, 445, 449, 451, 459, 461, 464, 466, 470, 471, 474, 490, 496, 519, 521, 529, 535, 536, 544, 545, 556, 559, 569, 570, 571, 575, 576, 579, 581, 584, 594, 595, 609, 631, 634, 636, 639, 641, 644, 646, 649, 654, 661, 669, 674, 680, 685, 686, 689, 690, 695, 696, 699, 700, 704, 711, 714, 715, 716, 739, 740, 745, 750, 751, 760, 764, 779, 780, 781, 784, 791, 799, 815, 816, 819, 821, 826, 841, 855, 860, 861, 864, 869, 875, 881, 885, 890, 901, 906, 909, 910, 920, 921, 925, 929, 930, 935, 936, 946, 949, 950, 951, 955, 959, 960, 966, 979, 981, 985, 986, 989, 991, 1001, 1004, 1010, 1011, 1025, 1029, 1031, 1036, 1039, 1051, 1054, 1055, 1060, 1066, 1069, 1070, 1080, 1081, 1091, 1094, 1095, 1096, 1099, 1106, 1111, 1124, 1125, 1129, 1140, 1144, 1146, 1150, 1151, 1155, 1156, 1161, 1171, 1174, 1176, 1179, 1181, 1184, 1185, 1199, 1205, 1210, 1219, 1225, 1241, 1244, 1246, 1251, 1255, 1265, 1274, 1276, 1281, 1285, 1290, 1294, 1299, 1306, 1311, 1314, 1315, 1316, 1320, 1324, 1329, 1340, 1345, 1349, 1350, 1354, 1359, 1361, 1366, 1374, 1376, 1389, 1391, 1394, 1405, 1406, 1410, 1411, 1416, 1419, 1420, 1421, 1430, 1434, 1439, 1440, 1456, 1459, 1460, 1465, 1469, 1489, 1494, 1495, 1499, 1501, 1504, 1515, 1519, 1521, 1524, 1531, 1535, 1541, 1545, 1546, 1550, 1556, 1564, 1566, 1569, 1570, 1576, 1580, 1586, 1589, 1599, 1605, 1614, 1615, 1616, 1629, 1635, 1639, 1640, 1644, 1654, 1660, 1661, 1664, 1674, 1676, 1684, 1686, 1689, 1691, 1700, 1701, 1705, 1709, 1715, 1716, 1736, 1741, 1749, 1756, 1765, 1766, 1771, 1774, 1784, 1790, 1794, 1805, 1811, 1816, 1824, 1831, 1845, 1850, 1855, 1859, 1860, 1869, 1870, 1875, 1876, 1884, 1894, 1899, 1901, 1910, 1915, 1920, 1935, 1940, 1949, 1964, 1966, 1970, 1974, 1980, 1990, 2001, 2006, 2009, 2021, 2026, 2034, 2035, 2050, 2051, 2054, 2055, 2056, 2064, 2065, 2074, 2079, 2080, 2084, 2086, 2091, 2094, 2096, 2106, 2116, 2120, 2125, 2126, 2135, 2136, 2139, 2145, 2151, 2154, 2159, 2161, 2165, 2171, 2174, 2175, 2199, 2201, 2210, 2224, 2239, 2255, 2260, 2261, 2266, 2269, 2271, 2281, 2285, 2286, 2289, 2294, 2304, 2310, 2314, 2315, 2320, 2321, 2326, 2330, 2331, 2336, 2341, 2349, 2351, 2354, 2360, 2375, 2379, 2380, 2381, 2389, 2391, 2404, 2405, 2406, 2420, 2425, 2430, 2454, 2456, 2459, 2460, 2464, 2470, 2481, 2496, ...
|-
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|11||5, 17, 20, 21, 23, 30, 53, 60, 86, 137, 172, 195, 212, 224, 229, 254, 258, 268, 272, 287, 298, 319, 339, 355, 365, 366, 389, 390, 398, 414, 467, 474, 480, 504, 534, 539, 543, 562, 567, 592, 619, 626, 654, 672, 709, 735, 756, 766, 770, 778, 787, 806, 812, 874, 943, 973, 1003, 1036, 1040, 1065, 1091, 1103, 1167, 1194, 1210, 1213, 1239, 1243, 1249, 1264, 1309, 1311, 1341, 1348, 1357, 1377, 1425, 1433, 1437, 1448, 1449, 1459, 1486, 1510, 1528, 1575, 1586, 1601, 1631, 1661, 1696, 1698, 1701, 1748, 1770, 1840, 1859, 1860, 1864, 1874, 1910, 1924, 1926, 1937, 1942, 1954, 1977, 1985, 1993, 2000, 2029, 2039, 2087, 2089, 2123, 2149, 2167, 2215, 2223, 2228, 2238, 2261, 2274, 2294, 2301, 2307, 2311, 2319, 2320, 2323, 2338, 2388, 2393, 2403, 2416, 2438, 2457, 2458, 2461, ...
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|12||2, 3, 4, 5, 9, 10, 12, 13, 17, 25, 27, 30, 31, 36, 38, 39, 43, 48, 52, 55, 56, 61, 62, 65, 83, 92, 94, 99, 100, 104, 105, 109, 114, 118, 126, 131, 166, 168, 169, 172, 183, 185, 190, 194, 196, 198, 209, 224, 225, 229, 231, 239, 244, 257, 260, 261, 263, 269, 270, 272, 278, 291, 296, 299, 300, 302, 308, 311, 313, 320, 324, 328, 329, 339, 343, 346, 348, 350, 363, 374, 376, 390, 407, 412, 413, 417, 424, 426, 429, 434, 437, 438, 443, 447, 455, 463, 468, 480, 482, 485, 494, 502, 503, 507, 511, 515, 525, 533, 534, 545, 549, 555, 558, 559, 568, 571, 582, 593, 595, 599, 610, 612, 614, 619, 625, 632, 638, 640, 641, 647, 653, 659, 676, 684, 686, 697, 699, 701, 702, 707, 710, 716, 718, 724, 725, 729, 738, 742, 749, 767, 768, 777, 780, 793, 794, 797, 798, 801, 805, 811, 820, 832, 836, 840, 842, 853, 854, 861, 862, 868, 871, 872, 876, 893, 905, 909, 915, 923, 924, 949, 953, 958, 959, 961, 963, 967, 972, 974, 978, 988, 1000, 1009, 1015, 1018, 1026, 1031, 1036, 1039, 1040, 1045, 1063, 1067, 1070, 1074, 1080, 1101, 1105, 1110, 1113, 1122, 1123, 1126, 1132, 1134, 1135, 1147, 1156, 1174, 1195, 1196, 1205, 1208, 1210, 1212, 1214, 1219, 1232, 1239, 1251, 1256, 1258, 1261, 1275, 1284, 1299, 1305, 1308, 1325, 1326, 1331, 1336, 1344, 1360, 1365, 1369, 1370, 1373, 1375, 1379, 1394, 1395, 1405, 1413, 1416, 1421, 1426, 1434, 1440, 1452, 1459, 1460, 1464, 1473, 1483, 1486, 1490, 1491, 1492, 1499, 1505, 1516, 1517, 1521, 1524, 1538, 1550, 1552, 1555, 1563, 1569, 1572, 1576, 1589, 1590, 1596, 1598, 1600, 1611, 1616, 1624, 1625, 1635, 1641, 1647, 1652, 1654, 1659, 1660, 1661, 1663, 1669, 1680, 1689, 1690, 1693, 1695, 1700, 1704, 1712, 1713, 1717, 1719, 1726, 1733, 1739, 1741, 1746, 1751, 1756, 1758, 1759, 1764, 1773, 1778, 1780, 1789, 1793, 1811, 1823, 1829, 1830, 1832, 1841, 1854, 1856, 1860, 1863, 1875, 1885, 1886, 1889, 1890, 1893, 1897, 1898, 1899, 1902, 1914, 1915, 1927, 1928, 1929, 1933, 1936, 1949, 1951, 1963, 1967, 1971, 1980, 1986, 1989, 2005, 2011, 2018, 2033, 2037, 2040, 2054, 2055, 2062, 2072, 2075, 2076, 2083, 2084, 2089, 2090, 2096, 2102, 2105, 2107, 2111, 2116, 2119, 2122, 2135, 2144, 2153, 2155, 2168, 2183, 2189, 2211, 2224, 2232, 2235, 2241, 2250, 2252, 2257, 2258, 2259, 2261, 2270, 2285, 2300, 2301, 2309, 2313, 2319, 2331, 2337, 2340, 2341, 2356, 2363, 2369, 2371, 2384, 2387, 2392, 2395, 2396, 2401, 2426, 2440, 2443, 2453, 2454, 2457, 2486, 2488, 2497, 2500, ...
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|13||2, 3, 5, 7, 34, 37, 43, 59, 72, 92, 94, 98, 110, 118, 133, 149, 151, 159, 190, 207, 219, 221, 251, 260, 264, 267, 274, 282, 286, 291, 319, 355, 363, 373, 382, 397, 398, 402, 406, 408, 412, 436, 442, 443, 486, 489, 507, 542, 544, 552, 553, 573, 582, 585, 592, 603, 610, 614, 634, 643, 645, 677, 689, 708, 720, 730, 744, 769, 772, 806, 851, 853, 862, 882, 912, 928, 930, 952, 968, 993, 1006, 1019, 1025, 1040, 1047, 1067, 1097, 1098, 1120, 1125, 1131, 1133, 1153, 1165, 1172, 1175, 1191, 1197, 1236, 1245, 1248, 1262, 1271, 1273, 1275, 1281, 1299, 1305, 1306, 1311, 1346, 1376, 1378, 1400, 1403, 1404, 1412, 1418, 1428, 1431, 1442, 1450, 1471, 1496, 1502, 1570, 1585, 1587, 1660, 1662, 1666, 1736, 1754, 1757, 1836, 1853, 1860, 1861, 1885, 1903, 1913, 1915, 1972, 1975, 1987, 1988, 1995, 2006, 2033, 2052, 2073, 2098, 2191, 2193, 2206, 2210, 2224, 2252, 2255, 2267, 2280, 2302, 2314, 2319, 2324, 2346, 2362, 2366, 2417, 2444, 2450, 2479, 2486, ...
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|14||2, 3, 10, 11, 14, 15, 16, 17, 18, 21, 24, 25, 29, 37, 43, 44, 46, 48, 49, 52, 54, 61, 66, 69, 72, 73, 78, 84, 86, 87, 99, 101, 104, 106, 114, 115, 128, 133, 135, 136, 143, 145, 146, 148, 164, 169, 170, 173, 200, 219, 224, 226, 228, 231, 234, 240, 244, 248, 255, 262, 275, 281, 282, 298, 301, 305, 320, 321, 322, 327, 330, 339, 347, 359, 363, 368, 369, 384, 385, 387, 401, 417, 433, 435, 442, 450, 455, 458, 482, 488, 494, 496, 508, 517, 519, 521, 553, 559, 566, 579, 582, 590, 601, 616, 621, 625, 628, 630, 636, 638, 654, 657, 669, 675, 691, 692, 694, 711, 712, 714, 719, 724, 725, 728, 732, 737, 750, 756, 757, 765, 768, 773, 774, 778, 780, 793, 797, 803, 810, 827, 828, 831, 842, 848, 860, 865, 869, 895, 901, 910, 916, 919, 922, 923, 926, 931, 936, 938, 951, 960, 967, 971, 972, 982, 1002, 1010, 1022, 1032, 1060, 1063, 1070, 1073, 1074, 1089, 1098, 1105, 1109, 1110, 1123, 1128, 1130, 1131, 1132, 1138, 1147, 1160, 1178, 1179, 1184, 1189, 1190, 1207, 1216, 1218, 1220, 1221, 1291, 1293, 1302, 1303, 1308, 1332, 1349, 1350, 1353, 1357, 1361, 1362, 1366, 1373, 1374, 1386, 1394, 1407, 1435, 1448, 1474, 1487, 1511, 1515, 1524, 1535, 1538, 1558, 1562, 1563, 1564, 1581, 1597, 1605, 1614, 1615, 1616, 1626, 1638, 1639, 1645, 1648, 1653, 1654, 1671, 1681, 1683, 1693, 1696, 1698, 1705, 1707, 1710, 1713, 1719, 1723, 1726, 1731, 1739, 1748, 1758, 1768, 1781, 1787, 1789, 1793, 1799, 1800, 1810, 1817, 1823, 1830, 1835, 1839, 1848, 1853, 1859, 1879, 1909, 1929, 1932, 1935, 1961, 1964, 1969, 1979, 1996, 1997, 2002, 2009, 2013, 2015, 2026, 2037, 2056, 2058, 2071, 2074, 2075, 2077, 2080, 2088, 2099, 2104, 2106, 2111, 2133, 2140, 2145, 2147, 2162, 2174, 2175, 2190, 2196, 2204, 2207, 2216, 2219, 2221, 2233, 2234, 2236, 2248, 2251, 2257, 2269, 2273, 2277, 2285, 2286, 2294, 2305, 2309, 2315, 2316, 2319, 2322, 2334, 2339, 2356, 2372, 2378, 2379, 2393, 2403, 2406, 2414, 2418, 2419, 2424, 2425, 2427, 2432, 2434, 2446, 2460, 2467, 2479, 2480, 2482, 2489, 2494, ...
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|15||2, 3, 11, 17, 23, 43, 46, 52, 53, 61, 62, 78, 84, 88, 89, 92, 99, 108, 123, 124, 141, 146, 154, 156, 158, 163, 170, 171, 182, 187, 202, 217, 219, 221, 229, 233, 238, 248, 249, 253, 264, 274, 275, 278, 283, 285, 287, 291, 296, 302, 309, 314, 315, 322, 325, 342, 346, 353, 356, 366, 368, 372, 377, 380, 384, 394, 404, 406, 411, 420, 425, 426, 446, 461, 463, 466, 470, 480, 482, 486, 487, 488, 494, 495, 498, 499, 508, 518, 521, 533, 540, 552, 554, 573, 580, 592, 593, 594, 595, 612, 624, 633, 636, 644, 647, 672, 681, 703, 707, 711, 712, 718, 719, 721, 724, 737, 740, 756, 760, 766, 791, 792, 801, 811, 821, 832, 852, 864, 872, 905, 914, 915, 938, 942, 946, 983, 984, 985, 990, 996, 1016, 1025, 1038, 1046, 1056, 1070, 1078, 1085, 1116, 1127, 1129, 1143, 1146, 1178, 1179, 1209, 1213, 1217, 1257, 1261, 1265, 1266, 1271, 1283, 1288, 1307, 1331, 1339, 1344, 1360, 1385, 1422, 1434, 1441, 1448, 1451, 1484, 1491, 1499, 1501, 1505, 1509, 1519, 1522, 1549, 1555, 1574, 1575, 1576, 1585, 1587, 1592, 1605, 1617, 1625, 1639, 1675, 1695, 1698, 1700, 1701, 1705, 1731, 1751, 1753, 1761, 1763, 1772, 1797, 1801, 1834, 1860, 1881, 1893, 1904, 1908, 1923, 1935, 1937, 1938, 1943, 1944, 1956, 1959, 1983, 1985, 2007, 2011, 2014, 2019, 2027, 2032, 2051, 2052, 2061, 2063, 2075, 2078, 2083, 2085, 2106, 2113, 2121, 2123, 2139, 2163, 2168, 2172, 2200, 2206, 2214, 2217, 2226, 2230, 2234, 2248, 2259, 2276, 2278, 2309, 2318, 2326, 2328, 2347, 2357, 2373, 2383, 2388, 2398, 2413, 2440, 2460, 2461, 2473, 2476, 2486, ...
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|16||2, 4, 9, 13, 33, 43, 47, 51, 53, 69, 81, 118, 132, 140, 145, 152, 185, 205, 208, 237, 239, 240, 242, 288, 290, 305, 306, 323, 341, 365, 373, 378, 392, 395, 409, 426, 433, 434, 442, 451, 455, 491, 501, 508, 510, 519, 531, 540, 542, 553, 557, 562, 565, 577, 596, 610, 664, 680, 682, 705, 723, 732, 747, 782, 795, 800, 808, 835, 841, 859, 866, 876, 884, 892, 916, 918, 934, 951, 956, 973, 990, 1021, 1022, 1028, 1037, 1053, 1054, 1103, 1106, 1113, 1120, 1121, 1135, 1143, 1174, 1199, 1205, 1209, 1211, 1224, 1232, 1239, 1256, 1284, 1307, 1310, 1343, 1351, 1375, 1377, 1379, 1390, 1403, 1446, 1458, 1475, 1477, 1479, 1495, 1505, 1513, 1529, 1531, 1580, 1585, 1602, 1614, 1616, 1623, 1628, 1640, 1681, 1682, 1691, 1698, 1699, 1732, 1749, 1752, 1753, 1755, 1777, 1785, 1800, 1815, 1836, 1837, 1845, 1868, 1871, 1878, 1885, 1930, 1936, 1942, 1947, 1991, 2053, 2061, 2078, 2083, 2090, 2100, 2104, 2117, 2123, 2140, 2159, 2175, 2191, 2193, 2194, 2227, 2257, 2261, 2274, 2279, 2282, 2286, 2291, 2297, 2328, 2330, 2337, 2359, 2362, 2378, 2405, 2429, 2440, 2467, 2480, 2490, ...
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|17||2, 11, 18, 20, 21, 28, 31, 55, 57, 62, 84, 87, 97, 107, 109, 129, 147, 149, 157, 160, 170, 181, 188, 189, 191, 205, 207, 241, 247, 251, 274, 295, 297, 315, 327, 335, 349, 351, 355, 358, 364, 365, 368, 379, 383, 410, 419, 423, 431, 436, 438, 466, 472, 506, 513, 527, 557, 571, 597, 599, 614, 637, 653, 656, 688, 708, 709, 720, 740, 762, 835, 836, 874, 974, 976, 980, 982, 986, 987, 1029, 1045, 1054, 1136, 1151, 1171, 1181, 1185, 1208, 1222, 1230, 1236, 1240, 1242, 1280, 1319, 1332, 1367, 1371, 1375, 1392, 1402, 1435, 1447, 1481, 1495, 1496, 1519, 1525, 1530, 1536, 1547, 1556, 1592, 1603, 1607, 1615, 1683, 1692, 1706, 1726, 1775, 1776, 1782, 1793, 1828, 1833, 1846, 1945, 1967, 1988, 1998, 2001, 2002, 2046, 2049, 2064, 2100, 2103, 2108, 2165, 2183, 2192, 2206, 2223, 2249, 2259, 2268, 2295, 2301, 2303, 2312, 2321, 2343, 2351, 2371, 2395, 2406, 2443, 2446, 2466, 2468, 2471, 2492, 2494, ...
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|18||2, 5, 6, 7, 8, 9, 11, 26, 35, 38, 42, 49, 54, 56, 66, 73, 80, 81, 88, 96, 100, 106, 107, 118, 120, 121, 122, 126, 131, 134, 175, 190, 196, 197, 207, 208, 227, 234, 235, 240, 245, 266, 271, 275, 296, 301, 302, 305, 308, 312, 322, 335, 342, 343, 347, 350, 353, 362, 367, 378, 379, 381, 384, 397, 399, 415, 418, 423, 442, 444, 455, 464, 467, 473, 480, 494, 505, 513, 520, 530, 556, 557, 574, 575, 581, 609, 628, 664, 665, 666, 689, 695, 700, 702, 708, 711, 712, 720, 723, 729, 739, 745, 795, 810, 823, 847, 859, 861, 871, 897, 900, 921, 930, 949, 951, 975, 981, 996, 999, 1034, 1045, 1050, 1072, 1073, 1081, 1089, 1092, 1102, 1108, 1120, 1128, 1132, 1145, 1163, 1165, 1170, 1227, 1235, 1236, 1258, 1265, 1273, 1280, 1291, 1293, 1297, 1301, 1317, 1338, 1339, 1366, 1369, 1377, 1380, 1387, 1391, 1393, 1395, 1403, 1418, 1422, 1450, 1455, 1461, 1469, 1479, 1486, 1494, 1507, 1526, 1527, 1532, 1537, 1544, 1546, 1563, 1566, 1570, 1576, 1596, 1600, 1603, 1605, 1620, 1626, 1627, 1634, 1640, 1662, 1665, 1670, 1671, 1684, 1692, 1721, 1735, 1746, 1747, 1768, 1785, 1798, 1803, 1825, 1830, 1833, 1847, 1850, 1881, 1892, 1899, 1904, 1923, 1938, 1942, 1943, 1944, 1976, 1988, 1994, 2006, 2022, 2045, 2050, 2057, 2059, 2061, 2064, 2071, 2083, 2087, 2120, 2125, 2132, 2145, 2172, 2203, 2221, 2253, 2258, 2269, 2306, 2311, 2325, 2337, 2346, 2373, 2384, 2424, 2440, 2449, 2457, ...
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|19||2, 10, 11, 12, 14, 19, 24, 40, 45, 46, 48, 65, 66, 67, 75, 85, 90, 103, 105, 117, 119, 137, 147, 164, 167, 179, 181, 205, 220, 235, 242, 253, 254, 263, 268, 277, 303, 315, 332, 337, 366, 369, 370, 389, 399, 404, 424, 431, 446, 449, 480, 481, 506, 509, 521, 523, 531, 547, 567, 573, 581, 622, 646, 651, 673, 736, 761, 768, 787, 797, 807, 810, 811, 817, 840, 846, 857, 867, 869, 870, 888, 899, 902, 951, 971, 988, 990, 992, 1010, 1023, 1027, 1030, 1041, 1042, 1072, 1102, 1112, 1116, 1143, 1147, 1208, 1218, 1223, 1252, 1256, 1257, 1260, 1291, 1330, 1335, 1340, 1402, 1454, 1502, 1536, 1538, 1594, 1622, 1625, 1631, 1642, 1648, 1693, 1701, 1709, 1726, 1734, 1759, 1767, 1779, 1794, 1809, 1822, 1858, 1939, 1954, 1977, 1988, 1992, 1999, 2024, 2030, 2065, 2067, 2081, 2101, 2135, 2150, 2180, 2193, 2196, 2219, 2239, 2293, 2325, 2330, 2336, 2338, 2358, 2382, 2390, 2402, 2403, 2409, 2457, 2461, 2478, 2480, 2499, ...
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|20||2, 3, 4, 9, 11, 12, 16, 19, 26, 34, 45, 48, 54, 63, 70, 78, 82, 83, 86, 91, 96, 97, 101, 105, 109, 110, 119, 120, 126, 129, 139, 141, 149, 153, 167, 168, 171, 173, 181, 182, 187, 190, 192, 195, 215, 227, 228, 229, 257, 260, 276, 298, 299, 305, 309, 311, 314, 319, 334, 339, 352, 362, 369, 373, 375, 378, 414, 420, 425, 433, 444, 462, 467, 470, 477, 478, 479, 482, 483, 485, 506, 518, 519, 532, 534, 540, 548, 550, 552, 564, 570, 575, 591, 593, 601, 605, 606, 619, 626, 631, 642, 646, 649, 659, 660, 673, 684, 714, 719, 731, 734, 735, 749, 757, 791, 804, 832, 837, 842, 851, 876, 884, 885, 890, 899, 913, 926, 928, 937, 946, 949, 955, 961, 962, 965, 972, 987, 1010, 1044, 1053, 1057, 1085, 1095, 1098, 1104, 1114, 1118, 1125, 1141, 1162, 1170, 1188, 1201, 1207, 1217, 1218, 1220, 1224, 1229, 1234, 1239, 1262, 1294, 1306, 1322, 1327, 1342, 1349, 1362, 1369, 1384, 1394, 1400, 1401, 1423, 1464, 1469, 1475, 1477, 1490, 1491, 1511, 1513, 1521, 1523, 1531, 1534, 1540, 1544, 1567, 1569, 1571, 1585, 1593, 1611, 1617, 1628, 1630, 1631, 1637, 1640, 1641, 1650, 1665, 1672, 1674, 1677, 1699, 1705, 1706, 1710, 1711, 1719, 1721, 1739, 1744, 1763, 1767, 1770, 1794, 1810, 1815, 1817, 1818, 1820, 1844, 1869, 1879, 1886, 1892, 1898, 1902, 1918, 1920, 1930, 1931, 1937, 1942, 1945, 1961, 1964, 1967, 1971, 1978, 1999, 2002, 2016, 2031, 2038, 2043, 2057, 2062, 2068, 2073, 2075, 2079, 2114, 2116, 2117, 2155, 2174, 2185, 2189, 2191, 2205, 2215, 2221, 2226, 2236, 2237, 2239, 2248, 2259, 2269, 2270, 2306, 2307, 2313, 2315, 2338, 2360, 2372, 2377, 2393, 2395, 2409, 2418, 2422, 2429, 2430, 2437, 2474, 2482, 2487, ...
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|21||2, 3, 6, 7, 12, 18, 22, 27, 28, 30, 35, 41, 59, 63, 69, 72, 112, 116, 127, 128, 132, 133, 136, 140, 156, 164, 166, 172, 191, 198, 202, 215, 218, 219, 247, 276, 288, 305, 307, 323, 334, 343, 377, 383, 433, 474, 479, 516, 519, 521, 532, 534, 538, 549, 575, 586, 613, 622, 646, 647, 675, 680, 688, 692, 733, 737, 790, 793, 795, 815, 822, 902, 909, 911, 915, 947, 952, 966, 996, 1025, 1033, 1034, 1048, 1073, 1075, 1082, 1087, 1093, 1129, 1144, 1163, 1166, 1182, 1188, 1208, 1241, 1251, 1252, 1269, 1274, 1310, 1340, 1363, 1379, 1418, 1424, 1460, 1461, 1463, 1494, 1501, 1503, 1507, 1508, 1510, 1532, 1540, 1553, 1568, 1590, 1595, 1603, 1623, 1627, 1635, 1660, 1682, 1719, 1728, 1749, 1756, 1766, 1790, 1796, 1797, 1826, 1832, 1857, 1879, 1886, 1924, 1929, 1939, 1954, 1974, 1979, 1982, 1983, 1997, 2004, 2012, 2013, 2064, 2075, 2090, 2097, 2099, 2107, 2113, 2118, 2123, 2128, 2134, 2152, 2200, 2205, 2221, 2234, 2243, 2252, 2257, 2262, 2280, 2306, 2320, 2322, 2323, 2376, 2381, 2383, 2410, 2424, 2436, 2450, 2459, 2480, 2483, ...
|-
|22||2, 6, 12, 13, 23, 24, 26, 35, 54, 62, 69, 91, 105, 147, 160, 163, 183, 185, 193, 229, 232, 233, 236, 248, 252, 262, 269, 280, 285, 294, 303, 307, 315, 330, 376, 394, 426, 430, 439, 440, 464, 469, 491, 492, 508, 537, 625, 629, 647, 653, 666, 752, 772, 775, 786, 788, 832, 840, 852, 854, 855, 859, 905, 922, 972, 993, 998, 1012, 1041, 1043, 1061, 1076, 1082, 1129, 1136, 1154, 1158, 1173, 1177, 1199, 1208, 1220, 1237, 1266, 1277, 1312, 1336, 1338, 1370, 1386, 1405, 1429, 1439, 1442, 1451, 1455, 1508, 1522, 1543, 1553, 1564, 1566, 1626, 1665, 1734, 1775, 1810, 1821, 1829, 1840, 1844, 1908, 1910, 1938, 1963, 1982, 2009, 2017, 2040, 2070, 2083, 2101, 2105, 2118, 2155, 2163, 2170, 2201, 2203, 2224, 2231, 2244, 2329, 2346, 2347, 2373, 2433, 2450, 2456, 2461, 2485, 2486, 2493, 2496, ...
|-
|23||10, 40, 82, 113, 127, 141, 170, 257, 275, 287, 295, 315, 344, 373, 442, 468, 599, 609, 634, 646, 663, 671, 710, 819, 834, 857, 884, 894, 904, 992, 997, 1060, 1069, 1077, 1120, 1143, 1190, 1232, 1253, 1261, 1280, 1291, 1347, 1407, 1436, 1448, 1483, 1514, 1570, 1642, 1680, 1684, 1691, 1744, 1749, 1786, 1801, 1816, 1830, 1879, 1891, 1906, 1946, 1968, 1994, 2005, 2158, 2200, 2318, 2444, 2459, ...
|-
|24||2, 3, 5, 6, 10, 13, 14, 15, 18, 25, 26, 27, 31, 34, 37, 39, 40, 42, 44, 46, 49, 50, 53, 59, 62, 63, 65, 68, 69, 75, 76, 77, 83, 87, 99, 100, 102, 104, 107, 110, 142, 152, 161, 166, 174, 175, 184, 187, 188, 191, 192, 199, 204, 207, 208, 213, 215, 222, 224, 227, 238, 244, 245, 247, 250, 256, 259, 263, 264, 265, 268, 274, 279, 286, 289, 303, 310, 311, 312, 314, 327, 332, 337, 339, 350, 353, 363, 366, 376, 380, 396, 409, 411, 434, 438, 439, 451, 466, 467, 486, 499, 501, 503, 506, 508, 520, 549, 550, 551, 555, 575, 579, 581, 588, 593, 611, 612, 615, 616, 619, 623, 630, 639, 643, 645, 646, 649, 653, 658, 661, 663, 672, 673, 679, 680, 690, 694, 714, 716, 718, 730, 731, 741, 743, 753, 759, 761, 764, 781, 792, 799, 813, 816, 818, 834, 837, 842, 854, 861, 863, 867, 872, 873, 875, 878, 880, 886, 892, 903, 937, 965, 978, 989, 990, 1034, 1036, 1041, 1051, 1055, 1080, 1081, 1082, 1095, 1096, 1104, 1105, 1108, 1122, 1127, 1129, 1133, 1135, 1136, 1148, 1171, 1193, 1217, 1221, 1222, 1241, 1242, 1247, 1250, 1253, 1254, 1266, 1280, 1281, 1283, 1287, 1292, 1298, 1302, 1308, 1314, 1323, 1330, 1332, 1340, 1355, 1359, 1361, 1373, 1375, 1378, 1379, 1381, 1384, 1389, 1398, 1399, 1411, 1413, 1424, 1445, 1449, 1457, 1461, 1462, 1473, 1483, 1484, 1486, 1487, 1501, 1505, 1521, 1523, 1544, 1557, 1562, 1573, 1583, 1584, 1586, 1590, 1591, 1597, 1610, 1615, 1630, 1638, 1644, 1651, 1652, 1654, 1660, 1664, 1670, 1681, 1688, 1690, 1699, 1704, 1705, 1706, 1707, 1708, 1713, 1715, 1723, 1741, 1743, 1752, 1757, 1767, 1771, 1772, 1775, 1778, 1780, 1797, 1798, 1816, 1822, 1829, 1838, 1848, 1853, 1859, 1869, 1871, 1893, 1904, 1934, 1952, 1957, 1971, 1972, 1973, 1974, 1990, 1998, 2003, 2010, 2011, 2018, 2020, 2022, 2026, 2030, 2031, 2040, 2050, 2070, 2078, 2090, 2094, 2102, 2108, 2115, 2123, 2128, 2129, 2142, 2150, 2156, 2192, 2200, 2208, 2213, 2218, 2238, 2239, 2250, 2264, 2268, 2279, 2295, 2301, 2307, 2310, 2314, 2325, 2334, 2335, 2340, 2346, 2348, 2354, 2364, 2376, 2380, 2381, 2387, 2389, 2393, 2400, 2406, 2407, 2415, 2425, 2427, 2444, 2445, 2453, 2462, 2467, 2474, 2487, ...
|-
|25||22, 33, 39, 43, 46, 62, 74, 101, 134, 141, 142, 151, 167, 212, 238, 266, 287, 313, 335, 369, 414, 415, 418, 432, 436, 509, 516, 541, 604, 679, 697, 770, 782, 815, 831, 859, 871, 874, 895, 897, 924, 1039, 1048, 1070, 1085, 1096, 1111, 1121, 1134, 1145, 1170, 1177, 1212, 1239, 1240, 1262, 1321, 1339, 1347, 1361, 1364, 1374, 1407, 1413, 1414, 1449, 1473, 1488, 1513, 1537, 1544, 1624, 1627, 1628, 1630, 1665, 1682, 1691, 1718, 1744, 1758, 1766, 1783, 1792, 1822, 1835, 1979, 2026, 2043, 2046, 2050, 2118, 2159, 2160, 2161, 2165, 2180, 2214, 2223, 2235, 2248, 2250, 2256, 2296, 2308, 2312, 2357, 2368, 2400, 2414, 2433, 2444, 2450, 2487, 2496, ...
|-
|26||2, 3, 21, 22, 23, 35, 39, 74, 77, 80, 84, 89, 103, 108, 114, 121, 126, 134, 152, 153, 171, 180, 195, 204, 230, 246, 256, 263, 285, 297, 321, 326, 336, 337, 342, 345, 351, 368, 390, 393, 397, 398, 399, 413, 427, 439, 490, 493, 525, 558, 563, 566, 574, 591, 602, 609, 630, 641, 652, 657, 660, 667, 682, 685, 694, 708, 712, 716, 721, 755, 760, 763, 791, 792, 797, 813, 828, 839, 850, 862, 882, 898, 999, 1025, 1029, 1030, 1035, 1038, 1049, 1063, 1073, 1076, 1081, 1105, 1111, 1128, 1162, 1176, 1178, 1185, 1216, 1227, 1234, 1238, 1264, 1268, 1274, 1307, 1318, 1324, 1359, 1364, 1369, 1371, 1373, 1377, 1388, 1392, 1445, 1450, 1451, 1461, 1489, 1496, 1529, 1539, 1550, 1555, 1560, 1610, 1612, 1616, 1624, 1632, 1689, 1695, 1794, 1805, 1824, 1857, 1873, 1889, 1899, 1930, 1943, 1950, 1955, 1963, 1979, 1985, 1994, 2003, 2005, 2010, 2085, 2103, 2108, 2113, 2122, 2151, 2153, 2172, 2189, 2214, 2228, 2234, 2236, 2257, 2268, 2293, 2307, 2314, 2337, 2373, 2380, 2400, 2417, 2433, 2436, 2443, 2483, 2487, 2492, ...
|-
|27||2, 11, 44, 45, 56, 62, 63, 67, 110, 127, 163, 170, 208, 214, 219, 232, 234, 245, 261, 263, 325, 333, 337, 394, 395, 398, 402, 413, 421, 428, 434, 437, 498, 502, 505, 557, 558, 578, 610, 633, 637, 643, 652, 691, 692, 695, 715, 723, 731, 750, 761, 774, 794, 797, 804, 806, 826, 846, 854, 855, 859, 863, 906, 919, 923, 926, 943, 977, 982, 1045, 1046, 1066, 1081, 1085, 1086, 1091, 1094, 1108, 1157, 1164, 1181, 1184, 1197, 1207, 1212, 1217, 1239, 1271, 1282, 1298, 1300, 1303, 1341, 1371, 1378, 1402, 1407, 1458, 1525, 1579, 1596, 1624, 1632, 1679, 1696, 1705, 1725, 1772, 1775, 1804, 1809, 1827, 1828, 1845, 1853, 1867, 1896, 1909, 1912, 1914, 1958, 1960, 1961, 2004, 2005, 2007, 2030, 2061, 2089, 2122, 2131, 2137, 2138, 2145, 2167, 2276, 2316, 2319, 2321, 2322, 2332, 2393, 2394, 2404, 2439, 2458, ...
|-
|28||4, 5, 7, 13, 25, 33, 41, 63, 74, 80, 88, 94, 96, 104, 116, 144, 149, 151, 154, 165, 167, 174, 183, 191, 197, 208, 231, 241, 262, 268, 270, 290, 318, 319, 361, 368, 376, 390, 394, 412, 431, 434, 442, 464, 489, 492, 521, 529, 556, 568, 574, 575, 585, 589, 613, 629, 639, 654, 666, 667, 672, 683, 684, 709, 724, 732, 763, 782, 787, 803, 811, 817, 821, 828, 842, 845, 850, 858, 876, 928, 933, 951, 977, 979, 982, 993, 995, 1006, 1020, 1037, 1045, 1056, 1082, 1086, 1089, 1101, 1111, 1135, 1140, 1156, 1166, 1196, 1217, 1218, 1223, 1224, 1246, 1280, 1285, 1306, 1343, 1357, 1368, 1414, 1426, 1428, 1480, 1484, 1509, 1517, 1530, 1536, 1541, 1567, 1571, 1579, 1589, 1594, 1611, 1707, 1712, 1736, 1739, 1744, 1757, 1760, 1763, 1770, 1781, 1791, 1802, 1807, 1818, 1844, 1855, 1862, 1891, 1930, 1942, 1960, 1972, 1985, 1996, 2029, 2043, 2060, 2076, 2170, 2180, 2198, 2213, 2217, 2250, 2261, 2271, 2329, 2340, 2343, 2377, 2412, 2423, 2431, 2464, 2465, 2470, 2482, ...
|-
|29||6, 40, 65, 70, 114, 151, 221, 229, 268, 283, 398, 451, 460, 519, 554, 587, 627, 628, 659, 687, 699, 859, 884, 915, 943, 974, 986, 1101, 1120, 1159, 1176, 1212, 1223, 1297, 1312, 1322, 1337, 1390, 1409, 1415, 1446, 1477, 1508, 1592, 1625, 1636, 1683, 1691, 1800, 1802, 1803, 1820, 2020, 2126, 2414, 2421, 2429, 2461, ...
|-
|30||2, 6, 7, 8, 9, 16, 18, 20, 26, 29, 31, 32, 33, 40, 41, 47, 57, 76, 82, 87, 88, 93, 101, 109, 120, 121, 125, 133, 140, 144, 162, 163, 175, 178, 183, 186, 191, 196, 215, 216, 218, 227, 233, 242, 253, 266, 267, 273, 276, 278, 304, 312, 317, 319, 328, 336, 374, 380, 391, 408, 413, 421, 436, 438, 439, 448, 453, 457, 474, 475, 479, 491, 500, 502, 505, 510, 511, 521, 526, 541, 558, 560, 564, 609, 621, 625, 628, 636, 648, 657, 660, 678, 682, 683, 692, 705, 712, 714, 727, 738, 746, 759, 767, 782, 783, 802, 803, 826, 831, 833, 836, 837, 844, 846, 851, 863, 882, 898, 924, 925, 931, 938, 946, 953, 970, 975, 976, 984, 988, 990, 1011, 1017, 1054, 1091, 1093, 1115, 1118, 1130, 1142, 1145, 1161, 1162, 1182, 1187, 1201, 1219, 1227, 1250, 1260, 1278, 1281, 1294, 1338, 1356, 1364, 1370, 1379, 1389, 1396, 1397, 1402, 1409, 1420, 1433, 1441, 1451, 1459, 1461, 1467, 1486, 1488, 1489, 1492, 1511, 1517, 1535, 1537, 1555, 1565, 1595, 1610, 1614, 1640, 1643, 1644, 1673, 1704, 1709, 1710, 1715, 1724, 1731, 1732, 1735, 1751, 1776, 1786, 1794, 1797, 1800, 1812, 1824, 1827, 1833, 1836, 1844, 1847, 1848, 1859, 1861, 1862, 1865, 1891, 1892, 1917, 1920, 1929, 1941, 1950, 1951, 1983, 1984, 1994, 2011, 2012, 2033, 2045, 2046, 2056, 2074, 2082, 2097, 2104, 2105, 2108, 2118, 2135, 2148, 2149, 2172, 2178, 2196, 2199, 2202, 2203, 2205, 2206, 2207, 2251, 2258, 2264, 2272, 2278, 2294, 2304, 2332, 2360, 2365, 2385, 2388, 2394, 2403, 2434, 2446, 2463, 2465, 2467, 2472, 2488, 2494, ...
|-
|31||2, 14, 19, 31, 44, 53, 71, 82, 117, 127, 131, 145, 156, 177, 197, 203, 241, 258, 261, 276, 283, 293, 320, 325, 373, 379, 387, 388, 406, 413, 461, 462, 470, 486, 491, 534, 549, 569, 582, 612, 618, 639, 696, 706, 723, 746, 765, 767, 774, 796, 802, 877, 878, 903, 923, 931, 981, 991, 998, 1002, 1008, 1049, 1077, 1113, 1114, 1115, 1138, 1146, 1159, 1177, 1189, 1200, 1229, 1270, 1281, 1312, 1359, 1429, 1486, 1493, 1496, 1558, 1605, 1614, 1626, 1632, 1649, 1673, 1698, 1754, 1790, 1859, 1865, 1894, 1900, 1904, 1918, 1939, 1948, 1973, 1998, 1999, 2022, 2031, 2038, 2055, 2111, 2167, 2169, 2180, 2236, 2300, 2377, 2387, 2388, 2422, 2462, 2473, ...
|-
|32||2, 3, 9, 29, 41, 44, 73, 74, 76, 81, 87, 94, 111, 113, 156, 157, 158, 167, 173, 176, 187, 188, 195, 198, 199, 248, 253, 288, 295, 301, 306, 309, 318, 330, 348, 370, 371, 382, 391, 396, 403, 435, 441, 452, 456, 470, 474, 476, 478, 485, 525, 560, 568, 575, 585, 589, 598, 599, 607, 617, 642, 657, 669, 686, 688, 690, 736, 774, 776, 778, 779, 789, 790, 830, 832, 834, 846, 900, 905, 916, 946, 955, 956, 969, 972, 982, 984, 995, 1001, 1018, 1023, 1044, 1078, 1083, 1102, 1141, 1147, 1167, 1170, 1176, 1203, 1213, 1214, 1236, 1247, 1252, 1265, 1322, 1349, 1360, 1407, 1408, 1412, 1426, 1457, 1491, 1528, 1535, 1636, 1660, 1674, 1685, 1734, 1747, 1803, 1812, 1822, 1830, 1834, 1835, 1850, 1856, 1860, 1876, 1890, 1891, 1943, 1950, 1979, 1984, 2006, 2027, 2031, 2072, 2078, 2084, 2120, 2135, 2152, 2156, 2159, 2208, 2218, 2230, 2236, 2237, 2271, 2284, 2315, 2318, 2352, 2355, 2377, 2392, 2407, 2415, 2438, 2441, 2448, 2462, ...
|-
|33||2, 3, 13, 14, 18, 31, 44, 59, 62, 75, 80, 104, 109, 145, 185, 213, 273, 282, 309, 321, 337, 379, 399, 405, 411, 430, 452, 464, 470, 522, 535, 560, 566, 586, 593, 597, 653, 654, 688, 702, 704, 727, 728, 744, 746, 780, 805, 806, 816, 822, 829, 846, 856, 871, 884, 979, 986, 1001, 1014, 1043, 1087, 1102, 1109, 1133, 1185, 1192, 1211, 1324, 1325, 1340, 1410, 1422, 1474, 1476, 1494, 1503, 1556, 1636, 1648, 1661, 1672, 1716, 1720, 1721, 1723, 1725, 1806, 1810, 1829, 1927, 1975, 1983, 1989, 2085, 2168, 2174, 2189, 2207, 2210, 2275, 2290, 2328, 2331, 2359, 2360, 2369, 2379, 2397, 2419, 2487, ...
|-
|34||2, 7, 13, 17, 19, 41, 48, 58, 59, 66, 84, 86, 129, 133, 139, 143, 146, 149, 166, 167, 231, 268, 270, 299, 305, 322, 328, 359, 387, 397, 408, 469, 523, 527, 534, 541, 553, 555, 569, 577, 582, 583, 600, 608, 634, 662, 664, 667, 672, 673, 709, 714, 720, 725, 733, 746, 747, 759, 776, 802, 808, 822, 860, 870, 877, 892, 896, 902, 911, 962, 970, 975, 985, 1034, 1050, 1051, 1070, 1082, 1090, 1109, 1148, 1150, 1168, 1185, 1198, 1200, 1209, 1212, 1233, 1235, 1261, 1281, 1312, 1338, 1339, 1357, 1380, 1382, 1387, 1403, 1411, 1440, 1441, 1459, 1477, 1483, 1497, 1503, 1560, 1561, 1578, 1583, 1689, 1691, 1710, 1751, 1752, 1755, 1789, 1797, 1826, 1883, 1886, 1887, 1901, 1912, 1950, 1955, 1965, 1971, 1986, 2016, 2032, 2038, 2041, 2060, 2071, 2074, 2083, 2093, 2121, 2126, 2139, 2180, 2182, 2193, 2195, 2209, 2247, 2260, 2292, 2294, 2340, 2461, 2493, ...
|-
|35||14, 33, 39, 55, 112, 130, 132, 138, 168, 176, 179, 186, 189, 195, 210, 246, 259, 264, 310, 318, 346, 417, 431, 467, 478, 480, 534, 545, 564, 567, 661, 671, 741, 744, 749, 757, 786, 794, 804, 825, 851, 866, 911, 948, 955, 962, 976, 992, 1014, 1033, 1042, 1082, 1109, 1161, 1193, 1220, 1244, 1260, 1268, 1278, 1313, 1414, 1437, 1476, 1563, 1615, 1618, 1658, 1687, 1715, 1738, 1741, 1829, 2016, 2019, 2044, 2045, 2085, 2103, 2105, 2110, 2114, 2118, 2150, 2181, 2198, 2215, 2248, 2260, 2262, 2277, 2286, 2328, 2343, 2366, 2394, 2415, 2440, 2445, 2468, ...
|-
|36||3, 7, 9, 10, 11, 14, 27, 30, 33, 37, 40, 51, 62, 71, 78, 80, 82, 95, 117, 125, 137, 142, 148, 157, 185, 189, 191, 197, 223, 232, 236, 252, 255, 265, 287, 321, 323, 324, 326, 332, 337, 341, 354, 369, 391, 414, 416, 418, 430, 487, 509, 545, 558, 563, 582, 588, 589, 618, 675, 694, 714, 715, 739, 773, 776, 788, 884, 898, 909, 928, 932, 935, 948, 950, 952, 969, 989, 996, 1008, 1029, 1040, 1042, 1079, 1085, 1094, 1119, 1124, 1136, 1148, 1159, 1183, 1196, 1207, 1211, 1281, 1296, 1377, 1379, 1380, 1474, 1486, 1516, 1517, 1526, 1538, 1554, 1562, 1563, 1566, 1579, 1582, 1599, 1619, 1628, 1649, 1653, 1655, 1657, 1671, 1773, 1792, 1804, 1809, 1822, 1841, 1849, 1864, 1896, 1912, 1913, 1991, 2012, 2046, 2061, 2071, 2112, 2113, 2115, 2143, 2147, 2160, 2180, 2186, 2211, 2248, 2249, 2263, 2268, 2283, 2302, 2315, 2322, 2347, 2372, 2399, 2426, 2436, 2443, ...
|-
|37||61, 77, 94, 97, 99, 113, 126, 130, 134, 147, 161, 172, 187, 202, 208, 246, 261, 273, 285, 302, 320, 432, 444, 503, 523, 525, 563, 666, 680, 709, 740, 757, 787, 902, 962, 964, 969, 1013, 1109, 1111, 1165, 1186, 1219, 1351, 1528, 1587, 1660, 1698, 1710, 1754, 1811, 1972, 2070, 2088, 2137, 2145, 2185, 2210, 2295, 2305, 2348, 2365, 2396, 2398, 2439, 2453, 2462, ...
|-
|38||2, 10, 13, 18, 24, 28, 43, 47, 49, 54, 65, 83, 98, 106, 143, 152, 177, 184, 190, 194, 195, 208, 241, 249, 259, 264, 292, 315, 319, 345, 353, 355, 386, 394, 481, 500, 517, 525, 534, 535, 550, 556, 595, 601, 649, 656, 680, 686, 687, 697, 707, 710, 756, 798, 804, 817, 818, 829, 839, 841, 858, 864, 891, 906, 912, 932, 948, 973, 991, 994, 1012, 1030, 1032, 1036, 1046, 1057, 1060, 1066, 1071, 1089, 1166, 1175, 1203, 1205, 1227, 1234, 1237, 1261, 1283, 1284, 1319, 1327, 1335, 1336, 1337, 1356, 1372, 1387, 1412, 1413, 1439, 1450, 1460, 1483, 1488, 1495, 1502, 1515, 1518, 1521, 1532, 1538, 1676, 1677, 1685, 1686, 1690, 1720, 1722, 1734, 1739, 1758, 1759, 1762, 1782, 1792, 1814, 1822, 1833, 1834, 1838, 1839, 1842, 1861, 1869, 1884, 1918, 1922, 1972, 1975, 1999, 2005, 2012, 2033, 2042, 2056, 2093, 2119, 2221, 2244, 2251, 2264, 2325, 2356, 2359, 2371, 2381, 2383, 2427, 2436, 2446, 2479, ...
|-
|39||10, 23, 29, 86, 240, 254, 284, 308, 340, 369, 371, 378, 382, 393, 407, 422, 448, 459, 574, 582, 613, 619, 667, 686, 703, 767, 769, 844, 851, 861, 875, 881, 944, 987, 995, 1030, 1056, 1207, 1219, 1233, 1251, 1270, 1279, 1292, 1343, 1372, 1399, 1409, 1445, 1468, 1497, 1500, 1557, 1586, 1598, 1628, 1633, 1645, 1667, 1677, 1712, 1760, 1803, 1807, 1835, 1933, 2004, 2014, 2028, 2039, 2057, 2113, 2136, 2143, 2196, 2224, 2229, 2271, 2291, 2376, 2391, 2397, 2398, ...
|-
|40||2, 3, 4, 31, 37, 39, 46, 77, 98, 119, 124, 143, 144, 154, 169, 197, 205, 232, 245, 266, 291, 295, 297, 305, 308, 319, 332, 333, 413, 426, 431, 437, 454, 459, 472, 483, 513, 528, 531, 542, 579, 617, 619, 635, 647, 677, 724, 737, 748, 780, 806, 815, 819, 820, 840, 851, 858, 870, 875, 907, 920, 927, 940, 983, 1002, 1028, 1048, 1050, 1064, 1109, 1125, 1149, 1179, 1197, 1209, 1222, 1229, 1233, 1244, 1248, 1251, 1320, 1337, 1345, 1410, 1434, 1471, 1522, 1526, 1566, 1574, 1576, 1578, 1607, 1723, 1725, 1738, 1758, 1794, 1877, 1885, 1886, 1968, 1999, 2000, 2009, 2010, 2023, 2041, 2058, 2064, 2073, 2093, 2136, 2141, 2148, 2171, 2182, 2183, 2204, 2215, 2222, 2232, 2273, 2275, 2287, 2317, 2323, 2342, 2355, 2364, 2396, 2423, 2428, 2450, 2478, 2487, ...
|-
|41||14, 53, 55, 58, 71, 76, 82, 211, 248, 271, 296, 316, 430, 433, 439, 472, 545, 553, 555, 596, 663, 677, 682, 746, 814, 832, 885, 926, 947, 959, 1048, 1121, 1146, 1175, 1207, 1300, 1302, 1390, 1404, 1445, 1466, 1477, 1541, 1650, 1699, 1702, 1706, 1756, 1757, 1782, 1902, 1944, 1963, 1994, 2012, 2042, 2122, 2163, 2215, 2344, 2348, 2369, 2439, 2442, 2465, ...
|-
|42||2, 6, 8, 11, 17, 23, 35, 41, 49, 58, 65, 85, 88, 96, 97, 103, 107, 111, 129, 139, 144, 161, 170, 194, 197, 213, 214, 217, 223, 230, 236, 238, 247, 274, 283, 290, 297, 298, 301, 323, 339, 348, 360, 381, 382, 383, 389, 393, 398, 403, 427, 445, 452, 473, 480, 497, 500, 511, 523, 561, 575, 595, 601, 604, 606, 615, 629, 651, 652, 680, 685, 702, 705, 725, 762, 770, 774, 780, 781, 782, 805, 814, 857, 892, 912, 918, 942, 987, 1004, 1027, 1030, 1039, 1045, 1054, 1099, 1125, 1126, 1131, 1155, 1160, 1168, 1169, 1215, 1231, 1235, 1246, 1249, 1256, 1271, 1279, 1289, 1291, 1314, 1315, 1325, 1373, 1383, 1385, 1386, 1415, 1416, 1420, 1436, 1454, 1460, 1468, 1476, 1498, 1519, 1522, 1556, 1585, 1629, 1657, 1665, 1687, 1692, 1693, 1708, 1713, 1715, 1716, 1729, 1730, 1735, 1744, 1779, 1784, 1787, 1794, 1801, 1808, 1810, 1812, 1816, 1842, 1847, 1851, 1857, 1863, 1914, 1924, 1958, 1966, 1974, 1975, 1991, 2001, 2002, 2013, 2022, 2029, 2036, 2052, 2124, 2132, 2138, 2157, 2182, 2207, 2218, 2228, 2229, 2246, 2251, 2257, 2276, 2279, 2280, 2295, 2303, 2338, 2344, 2360, 2362, 2378, 2387, 2389, 2396, 2406, 2408, 2424, 2465, 2472, 2473, 2486, ...
|-
|43||15, 21, 26, 86, 89, 114, 123, 163, 180, 310, 332, 377, 409, 438, 448, 457, 477, 526, 534, 556, 586, 612, 653, 665, 690, 692, 709, 760, 783, 803, 821, 848, 877, 899, 909, 942, 981, 1041, 1042, 1043, 1066, 1068, 1069, 1106, 1126, 1139, 1197, 1310, 1386, 1476, 1561, 1599, 1606, 1636, 1774, 1802, 1835, 1867, 2033, 2068, 2153, 2155, 2229, 2237, 2256, 2269, 2276, 2324, 2467, ...
|-
|44||25, 60, 70, 77, 86, 116, 117, 119, 137, 151, 166, 175, 176, 177, 181, 184, 202, 208, 229, 241, 300, 313, 328, 332, 344, 385, 402, 442, 444, 446, 453, 467, 470, 500, 501, 522, 527, 531, 532, 534, 568, 584, 592, 629, 690, 696, 701, 706, 709, 728, 734, 749, 795, 812, 828, 838, 844, 845, 855, 857, 950, 951, 965, 991, 1009, 1011, 1084, 1090, 1098, 1102, 1125, 1142, 1168, 1169, 1170, 1179, 1181, 1191, 1212, 1213, 1234, 1246, 1247, 1262, 1284, 1285, 1304, 1310, 1311, 1358, 1368, 1387, 1411, 1421, 1432, 1459, 1468, 1483, 1485, 1515, 1538, 1542, 1570, 1572, 1587, 1616, 1618, 1628, 1629, 1636, 1646, 1647, 1654, 1662, 1676, 1687, 1710, 1723, 1732, 1734, 1750, 1804, 1807, 1831, 1861, 1865, 1875, 1882, 1899, 1921, 1925, 1942, 1945, 1996, 2014, 2015, 2023, 2036, 2066, 2071, 2078, 2088, 2136, 2149, 2165, 2223, 2232, 2262, 2281, 2287, 2435, 2440, 2462, 2463, 2498, ...
|-
|45||11, 18, 23, 24, 29, 33, 40, 51, 61, 65, 85, 91, 95, 113, 153, 206, 207, 218, 264, 276, 285, 292, 313, 332, 347, 362, 367, 391, 417, 418, 424, 426, 428, 439, 444, 451, 454, 468, 476, 493, 542, 601, 634, 642, 653, 657, 680, 705, 734, 764, 783, 787, 856, 867, 873, 915, 942, 945, 953, 964, 971, 1013, 1022, 1044, 1054, 1058, 1070, 1111, 1133, 1152, 1242, 1252, 1274, 1304, 1322, 1334, 1365, 1404, 1405, 1406, 1423, 1438, 1442, 1456, 1483, 1500, 1524, 1527, 1531, 1544, 1553, 1562, 1582, 1662, 1671, 1688, 1723, 1736, 1743, 1751, 1761, 1812, 1830, 1833, 1835, 1837, 1910, 1946, 1985, 1989, 2017, 2022, 2026, 2091, 2095, 2129, 2143, 2166, 2170, 2215, 2271, 2272, 2282, 2283, 2288, 2297, 2300, 2305, 2306, 2308, 2329, 2336, 2364, 2389, 2402, 2416, 2418, 2443, 2448, 2452, 2466, 2472, 2485, 2496, ...
|-
|46||2, 3, 7, 16, 17, 18, 25, 46, 47, 106, 110, 111, 118, 136, 144, 145, 230, 238, 361, 382, 422, 439, 474, 494, 495, 519, 588, 639, 657, 707, 733, 751, 802, 831, 863, 902, 925, 976, 994, 1001, 1059, 1140, 1181, 1240, 1249, 1319, 1375, 1442, 1458, 1508, 1699, 1724, 1734, 1751, 1757, 1760, 1766, 1807, 1849, 1897, 1904, 1914, 1922, 1931, 1978, 2029, 2057, 2075, 2139, 2166, 2183, 2209, 2216, 2230, 2241, 2246, 2270, 2307, 2309, 2367, 2429, 2446, 2456, 2460, ...
|-
|47||5, 17, 19, 55, 62, 75, 89, 98, 99, 132, 172, 186, 197, 220, 268, 278, 279, 288, 439, 443, 496, 579, 583, 587, 742, 777, 825, 911, 966, 1003, 1029, 1155, 1202, 1267, 1377, 1461, 1472, 1473, 1530, 1562, 1634, 1682, 1705, 1783, 1848, 1852, 1885, 1900, 1943, 1957, 1969, 2036, 2044, 2105, 2111, 2265, 2282, 2485, 2492, ...
|-
|48||5, 7, 10, 16, 17, 39, 41, 51, 55, 70, 96, 97, 104, 132, 136, 137, 148, 182, 195, 206, 216, 227, 234, 236, 245, 262, 267, 278, 283, 287, 305, 310, 331, 361, 362, 380, 384, 409, 410, 411, 423, 438, 446, 464, 473, 495, 522, 549, 561, 564, 578, 587, 591, 592, 602, 619, 622, 633, 665, 679, 687, 714, 741, 759, 777, 784, 813, 828, 830, 847, 849, 853, 874, 879, 924, 931, 940, 977, 1015, 1030, 1037, 1057, 1058, 1090, 1107, 1141, 1145, 1160, 1170, 1211, 1246, 1265, 1285, 1296, 1299, 1304, 1306, 1312, 1313, 1316, 1328, 1373, 1393, 1400, 1409, 1420, 1443, 1500, 1518, 1542, 1546, 1557, 1570, 1574, 1643, 1644, 1653, 1656, 1685, 1686, 1688, 1727, 1737, 1756, 1759, 1761, 1762, 1763, 1780, 1792, 1807, 1900, 1924, 1927, 1930, 1936, 1959, 1964, 1977, 2015, 2018, 2019, 2033, 2041, 2050, 2059, 2070, 2089, 2122, 2133, 2179, 2208, 2217, 2222, 2255, 2302, 2313, 2318, 2342, 2350, 2384, 2407, 2416, 2417, 2430, 2440, 2443, 2470, 2477, 2487, ...
|-
|49||2, 5, 50, 57, 62, 67, 104, 123, 138, 151, 155, 186, 194, 233, 236, 253, 261, 269, 306, 337, 359, 416, 425, 439, 557, 613, 695, 705, 742, 748, 757, 821, 832, 884, 885, 892, 897, 902, 936, 937, 988, 1125, 1165, 1176, 1248, 1265, 1320, 1337, 1386, 1401, 1544, 1590, 1594, 1675, 1707, 1712, 1714, 1722, 1725, 1798, 1840, 1844, 2037, 2106, 2117, 2148, 2153, 2154, 2155, 2175, 2192, 2208, 2235, 2286, 2292, 2376, 2384, 2416, 2422, 2470, ...
|-
|50||6, 7, 17, 29, 42, 44, 56, 59, 62, 106, 108, 112, 141, 161, 163, 173, 194, 210, 212, 229, 231, 254, 296, 306, 342, 360, 382, 384, 395, 400, 416, 418, 431, 435, 457, 458, 484, 492, 517, 519, 530, 531, 540, 551, 579, 609, 618, 637, 644, 672, 697, 713, 722, 724, 732, 790, 791, 794, 810, 839, 850, 852, 876, 898, 902, 914, 926, 928, 937, 938, 970, 1010, 1091, 1118, 1123, 1129, 1150, 1157, 1165, 1182, 1214, 1229, 1247, 1253, 1258, 1269, 1272, 1320, 1321, 1378, 1399, 1402, 1422, 1425, 1474, 1500, 1532, 1539, 1573, 1578, 1584, 1586, 1588, 1622, 1624, 1635, 1651, 1653, 1696, 1699, 1725, 1756, 1811, 1875, 1912, 1948, 1970, 2017, 2076, 2092, 2114, 2115, 2119, 2124, 2131, 2133, 2147, 2175, 2219, 2253, 2260, 2295, 2347, 2406, 2462, 2463, 2464, ...
|-
|51||30, 39, 42, 56, 73, 99, 114, 142, 193, 214, 263, 268, 320, 329, 381, 397, 432, 435, 446, 476, 477, 499, 538, 580, 584, 585, 652, 685, 689, 837, 845, 867, 954, 1040, 1108, 1160, 1164, 1283, 1302, 1441, 1450, 1456, 1469, 1609, 1645, 1718, 1720, 1759, 2004, 2065, 2068, 2206, 2289, 2332, 2377, 2383, 2416, 2438, 2443, 2458, ...
|-
|52||11, 16, 37, 70, 96, 121, 131, 187, 280, 281, 317, 396, 441, 501, 554, 582, 696, 704, 733, 735, 765, 831, 876, 891, 894, 967, 1013, 1014, 1049, 1071, 1085, 1096, 1119, 1129, 1151, 1162, 1170, 1281, 1289, 1435, 1544, 1594, 1597, 1620, 1653, 1697, 1738, 1740, 1774, 1831, 1864, 1893, 1895, 1899, 1924, 1931, 1944, 1948, 1955, 1977, 2007, 2014, 2021, 2083, 2084, 2186, 2215, 2216, 2268, 2283, 2375, 2422, 2461, ...
|-
|53||24, 45, 60, 165, 235, 272, 285, 298, 307, 381, 416, 429, 623, 799, 858, 924, 929, 936, 1034, 1067, 1076, 1130, 1223, 1243, 1327, 1488, 1592, 1594, 1659, 1673, 1676, 1678, 1762, 1873, 1917, 1928, 1997, 2110, 2117, 2141, 2166, 2231, 2243, 2293, 2338, 2380, 2420, 2424, 2428, 2463, 2466, ...
|-
|54||2, 7, 9, 15, 23, 24, 25, 42, 62, 63, 78, 91, 122, 151, 159, 201, 208, 222, 248, 252, 277, 281, 284, 286, 291, 299, 316, 340, 342, 378, 395, 440, 445, 460, 478, 498, 522, 528, 532, 558, 580, 600, 668, 688, 701, 710, 726, 743, 752, 757, 763, 766, 771, 778, 787, 796, 798, 805, 812, 856, 864, 882, 893, 895, 963, 981, 987, 992, 1014, 1031, 1046, 1061, 1088, 1098, 1108, 1128, 1163, 1170, 1182, 1191, 1201, 1234, 1266, 1269, 1343, 1373, 1383, 1386, 1460, 1467, 1487, 1508, 1535, 1544, 1575, 1588, 1598, 1650, 1662, 1668, 1697, 1717, 1730, 1738, 1750, 1762, 1766, 1795, 1847, 1852, 1869, 1878, 1894, 1905, 1910, 1912, 1925, 1932, 1952, 1963, 1996, 2015, 2018, 2021, 2105, 2108, 2122, 2141, 2161, 2170, 2188, 2194, 2203, 2235, 2238, 2245, 2251, 2266, 2335, 2366, 2379, 2403, 2431, 2496, ...
|-
|55||7, 14, 39, 53, 61, 83, 127, 148, 154, 199, 208, 228, 249, 281, 288, 340, 430, 435, 476, 511, 525, 533, 534, 541, 594, 663, 668, 670, 671, 678, 683, 728, 739, 821, 830, 865, 867, 871, 873, 891, 922, 982, 992, 1037, 1038, 1059, 1090, 1206, 1212, 1252, 1311, 1413, 1443, 1456, 1522, 1537, 1544, 1575, 1616, 1639, 1651, 1668, 1699, 1735, 1741, 1742, 1754, 1756, 1790, 1806, 1820, 1821, 1823, 1958, 2005, 2058, 2064, 2149, 2167, 2169, 2188, 2194, 2226, 2291, 2316, ...
|-
|56||2, 5, 12, 19, 23, 33, 34, 84, 130, 136, 159, 167, 183, 187, 192, 197, 226, 229, 253, 259, 260, 269, 274, 323, 332, 337, 381, 404, 444, 464, 487, 491, 496, 520, 527, 577, 583, 614, 666, 672, 678, 683, 688, 702, 742, 747, 748, 762, 790, 830, 857, 865, 869, 871, 898, 901, 946, 1016, 1163, 1245, 1273, 1275, 1280, 1361, 1362, 1371, 1386, 1410, 1457, 1473, 1476, 1488, 1515, 1537, 1559, 1563, 1567, 1570, 1574, 1581, 1600, 1614, 1647, 1689, 1699, 1725, 1769, 1787, 1796, 1804, 1809, 1811, 1837, 1861, 1883, 1888, 1917, 1940, 1964, 1986, 2006, 2027, 2039, 2053, 2137, 2141, 2155, 2179, 2200, 2221, 2227, 2232, 2241, 2318, 2339, 2341, 2345, 2359, 2377, 2389, 2391, 2396, 2401, ...
|-
|57||5, 42, 45, 54, 95, 125, 145, 147, 166, 211, 250, 274, 338, 407, 445, 522, 619, 621, 636, 648, 649, 657, 691, 733, 745, 775, 808, 878, 903, 920, 946, 1040, 1064, 1097, 1105, 1122, 1137, 1167, 1168, 1188, 1190, 1197, 1209, 1210, 1211, 1269, 1280, 1319, 1374, 1443, 1477, 1491, 1514, 1520, 1553, 1565, 1586, 1592, 1596, 1624, 1630, 1639, 1656, 1667, 1703, 1769, 1775, 1778, 1790, 1824, 1900, 1918, 1925, 1935, 1939, 1952, 1996, 2023, 2076, 2151, 2168, 2201, 2258, 2294, 2325, 2331, 2333, 2353, 2369, 2407, 2460, 2487, ...
|-
|58||7, 15, 25, 62, 119, 123, 154, 202, 245, 285, 294, 295, 357, 371, 476, 626, 664, 690, 708, 723, 737, 768, 783, 803, 825, 826, 835, 841, 842, 867, 871, 897, 904, 934, 953, 1066, 1069, 1088, 1097, 1108, 1183, 1197, 1202, 1259, 1302, 1364, 1461, 1478, 1497, 1528, 1559, 1638, 1715, 1760, 1764, 1815, 1821, 1849, 1854, 1874, 2047, 2086, 2091, 2100, 2133, 2160, 2231, 2242, 2316, 2422, ...
|-
|59||19, 70, 102, 116, 126, 188, 209, 257, 294, 359, 451, 461, 468, 470, 638, 653, 710, 762, 766, 781, 824, 901, 939, 964, 995, 1036, 1047, 1098, 1150, 1211, 1234, 1243, 1256, 1278, 1389, 1401, 1422, 1436, 1454, 1492, 1523, 1639, 1703, 1705, 1826, 1913, 1915, 1978, 2013, 2043, 2131, 2140, 2200, 2208, 2228, 2229, 2307, 2309, 2323, 2365, 2480, 2485, ...
|-
|60||3, 4, 11, 12, 14, 25, 48, 57, 62, 70, 84, 93, 100, 126, 135, 138, 167, 170, 171, 184, 186, 194, 198, 205, 212, 217, 220, 222, 239, 240, 285, 292, 300, 318, 321, 339, 361, 378, 390, 391, 404, 419, 461, 500, 501, 509, 526, 546, 574, 606, 622, 635, 670, 671, 675, 717, 721, 723, 744, 747, 778, 789, 802, 804, 809, 822, 832, 903, 919, 929, 937, 965, 1001, 1012, 1016, 1024, 1034, 1050, 1084, 1086, 1095, 1101, 1132, 1158, 1164, 1174, 1187, 1211, 1215, 1217, 1223, 1262, 1266, 1276, 1282, 1303, 1320, 1342, 1343, 1346, 1365, 1394, 1395, 1403, 1425, 1430, 1450, 1485, 1502, 1504, 1505, 1506, 1624, 1676, 1705, 1711, 1719, 1722, 1741, 1747, 1748, 1750, 1753, 1766, 1797, 1806, 1859, 1870, 1882, 1900, 1912, 1913, 1916, 1925, 1994, 2001, 2004, 2027, 2041, 2085, 2090, 2095, 2107, 2116, 2122, 2126, 2144, 2169, 2177, 2185, 2188, 2199, 2306, 2317, 2331, 2334, 2341, 2366, 2379, 2394, 2406, 2411, 2426, 2429, 2437, 2486, 2488, 2490, 2498, ...
|-
|61||2, 19, 69, 88, 138, 155, 205, 234, 306, 336, 420, 425, 455, 470, 525, 555, 561, 608, 626, 667, 674, 766, 779, 846, 851, 937, 971, 998, 1053, 1055, 1112, 1137, 1263, 1329, 1383, 1445, 1448, 1499, 1544, 1551, 1578, 1640, 1689, 1724, 1750, 1793, 1868, 1892, 2143, 2241, 2358, 2407, 2414, 2441, ...
|-
|62||2, 6, 10, 36, 65, 74, 78, 83, 106, 115, 120, 148, 154, 161, 163, 168, 176, 189, 194, 197, 266, 270, 288, 331, 385, 399, 407, 410, 412, 413, 431, 468, 513, 524, 546, 569, 572, 578, 581, 600, 611, 619, 625, 626, 647, 719, 723, 756, 832, 834, 849, 922, 986, 1006, 1007, 1047, 1064, 1102, 1199, 1217, 1247, 1332, 1335, 1349, 1353, 1372, 1374, 1382, 1400, 1405, 1410, 1418, 1419, 1422, 1426, 1444, 1456, 1457, 1554, 1568, 1590, 1622, 1678, 1680, 1683, 1684, 1695, 1725, 1797, 1840, 1847, 1861, 1874, 1895, 1939, 1950, 1987, 1988, 1990, 1999, 2070, 2081, 2093, 2180, 2183, 2212, 2216, 2220, 2227, 2266, 2303, 2337, 2349, 2389, 2408, 2418, 2426, ...
|-
|63||3, 7, 12, 40, 92, 122, 178, 191, 195, 214, 282, 283, 297, 299, 300, 418, 437, 467, 493, 497, 507, 512, 530, 597, 630, 664, 667, 701, 744, 800, 823, 876, 899, 944, 965, 1040, 1043, 1061, 1063, 1070, 1083, 1112, 1141, 1209, 1254, 1322, 1325, 1345, 1378, 1398, 1416, 1430, 1532, 1563, 1625, 1704, 1726, 1728, 1746, 1863, 1875, 1921, 1997, 2030, 2085, 2179, 2220, 2319, 2392, 2461, 2476, ...
|-
|64||3, 9, 21, 30, 54, 65, 75, 96, 112, 114, 132, 156, 163, 181, 191, 229, 251, 332, 342, 360, 363, 376, 428, 430, 432, 448, 527, 562, 583, 588, 589, 605, 726, 738, 763, 804, 831, 839, 847, 850, 884, 971, 1068, 1099, 1127, 1142, 1167, 1181, 1198, 1199, 1201, 1225, 1243, 1255, 1273, 1299, 1306, 1315, 1379, 1489, 1540, 1547, 1568, 1596, 1673, 1678, 1713, 1714, 1754, 1801, 1812, 1818, 1823, 1847, 1861, 1878, 1906, 1957, 1960, 1962, 1987, 2046, 2069, 2087, 2098, 2109, 2118, 2142, 2177, 2195, 2325, 2330, 2385, 2418, 2434, 2457, ...
|-
|65||2, 68, 71, 83, 87, 92, 132, 137, 316, 390, 394, 407, 451, 534, 553, 587, 597, 622, 652, 733, 735, 771, 781, 846, 871, 879, 892, 901, 943, 987, 1047, 1077, 1102, 1120, 1179, 1208, 1219, 1224, 1229, 1261, 1303, 1371, 1614, 1623, 1648, 1726, 1745, 1796, 1810, 1813, 1821, 1842, 1920, 1965, 2147, 2153, 2156, 2193, 2330, 2434, ...
|-
|66||9, 38, 40, 53, 62, 105, 107, 125, 129, 134, 156, 183, 193, 210, 276, 283, 294, 306, 307, 317, 345, 371, 388, 399, 447, 504, 508, 514, 529, 542, 585, 594, 648, 668, 671, 676, 717, 719, 722, 723, 743, 752, 772, 784, 818, 833, 840, 844, 870, 880, 896, 941, 942, 964, 978, 1021, 1087, 1115, 1144, 1168, 1182, 1194, 1212, 1215, 1239, 1366, 1378, 1527, 1532, 1562, 1603, 1630, 1644, 1712, 1718, 1780, 1831, 1851, 1864, 1881, 1882, 1885, 1890, 1929, 1941, 1943, 1949, 1957, 1980, 2003, 2036, 2052, 2110, 2124, 2158, 2226, 2269, 2317, 2331, 2344, 2366, 2388, 2422, 2452, ...
|-
|67||46, 122, 238, 304, 314, 315, 328, 332, 346, 372, 382, 426, 440, 491, 496, 510, 524, 528, 566, 638, 733, 826, 1016, 1054, 1071, 1214, 1309, 1338, 1388, 1401, 1457, 1512, 1536, 1582, 1624, 1718, 1773, 1814, 1816, 1825, 1952, 1985, 2021, 2072, 2308, 2349, 2449, 2481, ...
|-
|68||47, 85, 88, 94, 150, 175, 177, 190, 194, 197, 203, 210, 217, 233, 254, 259, 315, 316, 322, 345, 371, 405, 451, 500, 505, 510, 562, 572, 619, 658, 730, 759, 838, 889, 926, 959, 983, 1041, 1090, 1110, 1136, 1145, 1218, 1249, 1251, 1336, 1373, 1374, 1376, 1392, 1416, 1418, 1425, 1484, 1513, 1547, 1562, 1567, 1581, 1590, 1641, 1657, 1804, 1824, 1829, 1903, 1949, 1952, 1966, 1971, 1990, 2001, 2028, 2031, 2059, 2095, 2109, 2119, 2277, 2372, 2381, 2416, 2421, ...
|-
|69||2, 22, 26, 43, 82, 218, 271, 273, 386, 392, 412, 469, 589, 599, 616, 686, 689, 807, 842, 848, 855, 867, 1055, 1138, 1170, 1251, 1287, 1352, 1393, 1422, 1555, 1590, 1617, 1662, 1712, 1745, 1851, 1998, 1999, 2069, 2076, 2189, 2213, 2279, 2328, 2440, ...
|-
|70||3, 12, 16, 19, 24, 37, 50, 57, 110, 148, 166, 169, 174, 181, 192, 212, 228, 233, 242, 330, 370, 380, 469, 492, 505, 514, 576, 583, 655, 657, 676, 678, 716, 726, 734, 776, 786, 829, 857, 994, 1040, 1099, 1114, 1154, 1181, 1186, 1244, 1338, 1348, 1350, 1354, 1379, 1397, 1436, 1444, 1509, 1517, 1549, 1557, 1591, 1645, 1741, 1752, 1755, 1801, 1813, 1855, 1900, 1925, 1935, 1949, 1960, 1971, 2003, 2004, 2069, 2082, 2084, 2089, 2113, 2130, 2167, 2259, 2286, 2288, 2301, 2338, 2361, 2362, 2380, 2382, 2386, 2393, 2401, 2420, ...
|-
|71||3, 6, 17, 24, 37, 89, 132, 374, 387, 402, 421, 435, 453, 464, 490, 516, 708, 736, 919, 947, 981, 1033, 1067, 1170, 1195, 1253, 1284, 1349, 1385, 1409, 1479, 1709, 1724, 1726, 1735, 1875, 1950, 1984, 2012, 2070, 2124, 2133, 2161, 2194, 2202, 2424, 2432, 2459, ...
|-
|72||3, 18, 36, 43, 51, 77, 89, 150, 178, 195, 209, 219, 244, 254, 265, 280, 290, 294, 314, 322, 340, 341, 362, 363, 371, 377, 386, 416, 450, 474, 488, 494, 511, 546, 548, 554, 576, 611, 625, 647, 723, 740, 760, 766, 800, 801, 803, 807, 820, 827, 835, 883, 940, 943, 956, 976, 1013, 1041, 1105, 1161, 1193, 1198, 1217, 1257, 1321, 1333, 1379, 1380, 1405, 1430, 1472, 1550, 1555, 1568, 1698, 1729, 1736, 1750, 1828, 1829, 1841, 1844, 1950, 1952, 1954, 1994, 1998, 2060, 2074, 2123, 2129, 2160, 2174, 2225, 2233, 2244, 2284, 2286, 2392, 2401, 2407, 2411, 2417, 2428, 2473, 2488, ...
|-
|73||11, 15, 75, 114, 195, 215, 295, 335, 378, 559, 566, 650, 660, 832, 871, 904, 966, 1021, 1112, 1203, 1334, 1433, 1485, 1724, 1822, 1959, 1998, 2115, 2154, 2432, 2465, 2486, ...
|-
|74||16, 19, 21, 49, 56, 63, 71, 74, 77, 83, 92, 96, 99, 160, 172, 197, 198, 230, 241, 280, 283, 415, 425, 448, 490, 520, 627, 691, 735, 784, 803, 829, 842, 853, 871, 872, 893, 894, 973, 981, 989, 1043, 1060, 1061, 1071, 1179, 1182, 1203, 1290, 1299, 1317, 1370, 1389, 1477, 1478, 1496, 1562, 1601, 1624, 1714, 1789, 1848, 1890, 1942, 2016, 2083, 2156, 2217, 2250, 2253, 2266, 2313, 2315, 2319, 2323, 2343, 2358, 2361, 2363, 2383, 2396, 2398, 2399, 2401, 2486, ...
|-
|75||59, 73, 75, 165, 181, 204, 205, 208, 283, 369, 377, 396, 427, 448, 531, 535, 573, 587, 601, 628, 664, 686, 705, 727, 836, 860, 866, 879, 907, 918, 1077, 1118, 1142, 1175, 1220, 1256, 1284, 1332, 1337, 1349, 1389, 1412, 1426, 1437, 1453, 1493, 1499, 1502, 1551, 1561, 1640, 1737, 1748, 1789, 1796, 1958, 1975, 2056, 2089, 2090, 2143, 2158, 2177, 2210, 2212, 2245, 2300, 2306, 2347, 2371, 2415, 2424, 2491, ...
|-
|76||7, 29, 33, 39, 62, 69, 81, 82, 139, 165, 180, 185, 196, 253, 273, 274, 278, 337, 348, 358, 376, 389, 412, 419, 439, 507, 521, 533, 555, 571, 600, 605, 611, 621, 623, 626, 650, 658, 701, 714, 727, 733, 758, 767, 795, 817, 866, 868, 869, 878, 881, 885, 896, 905, 932, 949, 983, 1013, 1045, 1072, 1082, 1128, 1144, 1162, 1170, 1171, 1196, 1258, 1276, 1285, 1294, 1307, 1315, 1355, 1416, 1423, 1424, 1430, 1442, 1495, 1532, 1535, 1557, 1615, 1651, 1659, 1664, 1669, 1764, 1816, 1833, 1852, 1872, 1930, 1931, 1965, 2077, 2103, 2104, 2182, 2211, 2235, 2271, 2333, 2341, 2402, 2427, 2480, 2481, ...
|-
|77||2, 17, 41, 42, 90, 104, 130, 132, 186, 211, 224, 228, 235, 259, 307, 319, 362, 410, 412, 537, 603, 605, 783, 789, 795, 811, 814, 854, 858, 861, 877, 892, 906, 940, 1003, 1028, 1052, 1095, 1178, 1241, 1249, 1259, 1263, 1265, 1279, 1357, 1392, 1398, 1457, 1569, 1755, 1795, 1809, 1814, 1880, 1882, 1894, 1896, 1906, 1961, 1970, 2020, 2026, 2054, 2132, 2161, 2179, 2253, 2310, 2327, 2408, 2451, ...
|-
|78||2, 8, 13, 16, 18, 41, 87, 88, 123, 134, 137, 141, 166, 180, 198, 236, 270, 288, 293, 299, 321, 361, 405, 416, 422, 450, 457, 492, 495, 514, 558, 580, 602, 605, 673, 697, 712, 713, 724, 743, 784, 805, 879, 884, 893, 1013, 1017, 1049, 1067, 1094, 1117, 1157, 1212, 1231, 1272, 1306, 1331, 1437, 1447, 1462, 1493, 1528, 1542, 1570, 1572, 1589, 1624, 1676, 1726, 1809, 1818, 1819, 1830, 1843, 1900, 1904, 1929, 1965, 1998, 2000, 2027, 2031, 2065, 2133, 2152, 2159, 2206, 2252, 2374, 2414, 2425, 2448, 2449, 2451, 2462, 2471, 2499, ...
|-
|79||22, 112, 140, 158, 159, 170, 254, 271, 330, 334, 354, 390, 483, 528, 560, 565, 714, 850, 888, 924, 929, 933, 935, 970, 1019, 1047, 1141, 1265, 1266, 1338, 1359, 1376, 1412, 1485, 1504, 1542, 1598, 1607, 1618, 1747, 1773, 1814, 1843, 2055, 2087, 2088, 2100, 2167, 2186, 2233, 2311, 2358, 2359, 2363, 2429, ...
|-
|80||2, 12, 13, 53, 71, 97, 123, 149, 150, 172, 197, 202, 228, 252, 286, 310, 323, 331, 335, 338, 367, 378, 400, 401, 404, 488, 504, 550, 569, 589, 615, 657, 673, 681, 699, 722, 770, 779, 787, 795, 857, 995, 1002, 1004, 1006, 1008, 1054, 1063, 1115, 1129, 1138, 1183, 1187, 1196, 1200, 1201, 1227, 1235, 1266, 1272, 1295, 1314, 1342, 1383, 1402, 1407, 1416, 1421, 1435, 1439, 1461, 1476, 1480, 1510, 1514, 1525, 1554, 1568, 1596, 1620, 1626, 1640, 1658, 1686, 1695, 1719, 1763, 1894, 1942, 2008, 2020, 2051, 2060, 2132, 2139, 2144, 2183, 2199, 2220, 2244, 2246, 2263, 2397, 2468, 2471, ...
|-
|81||21, 28, 50, 77, 79, 142, 153, 191, 194, 310, 311, 405, 440, 462, 557, 562, 638, 659, 690, 724, 746, 852, 868, 887, 919, 922, 944, 945, 1140, 1183, 1326, 1344, 1452, 1463, 1486, 1507, 1579, 1607, 1632, 1652, 1659, 1683, 1710, 1788, 1801, 1812, 1851, 1891, 1925, 1943, 1992, 2157, 2294, 2309, 2352, 2402, 2473, ...
|-
|82||61, 63, 99, 144, 230, 312, 360, 401, 413, 424, 451, 515, 542, 567, 610, 618, 622, 651, 690, 732, 817, 871, 1007, 1100, 1106, 1156, 1278, 1403, 1427, 1460, 1535, 1557, 1572, 1604, 1681, 1742, 1802, 1820, 1847, 1903, 1910, 1913, 1978, 2019, 2104, 2134, 2152, 2169, 2309, 2383, 2491, ...
|-
|83||41, 146, 386, 593, 667, 688, 906, 927, 930, 1025, 1032, 1111, 1410, 1437, 1638, 1829, 1960, 2045, 2159, 2381, 2384, ...
|-
|84||7, 12, 53, 61, 70, 71, 91, 132, 142, 156, 165, 166, 173, 187, 209, 218, 219, 236, 244, 260, 266, 270, 276, 286, 287, 306, 315, 324, 351, 361, 400, 424, 452, 461, 501, 502, 549, 569, 613, 615, 630, 631, 632, 639, 659, 669, 698, 710, 718, 721, 728, 751, 757, 782, 794, 797, 798, 826, 828, 831, 851, 853, 878, 883, 893, 895, 915, 919, 947, 965, 981, 984, 986, 1055, 1078, 1119, 1160, 1175, 1183, 1186, 1188, 1206, 1260, 1267, 1280, 1308, 1310, 1326, 1329, 1341, 1342, 1364, 1401, 1419, 1436, 1438, 1473, 1488, 1506, 1510, 1539, 1550, 1593, 1612, 1630, 1653, 1659, 1663, 1684, 1687, 1705, 1708, 1746, 1754, 1765, 1766, 1768, 1770, 1777, 1839, 1884, 1911, 1918, 1967, 1984, 1987, 1990, 2011, 2045, 2050, 2061, 2084, 2103, 2123, 2156, 2177, 2181, 2229, 2240, 2245, 2246, 2250, 2256, 2259, 2265, 2269, 2291, 2307, 2309, 2310, 2349, 2358, 2376, 2391, 2392, 2427, 2481, 2491, 2492, ...
|-
|85||2, 15, 32, 65, 77, 116, 154, 173, 197, 233, 250, 267, 392, 430, 453, 516, 558, 740, 791, 826, 844, 860, 861, 867, 868, 963, 1009, 1010, 1048, 1055, 1097, 1198, 1200, 1220, 1243, 1290, 1329, 1434, 1619, 1621, 1623, 1652, 1710, 1743, 1745, 1827, 1836, 1880, 1932, 2059, 2091, 2109, 2196, ...
|-
|86||2, 3, 6, 22, 59, 83, 91, 95, 120, 148, 195, 196, 201, 247, 252, 257, 264, 315, 360, 378, 458, 555, 680, 792, 893, 1025, 1088, 1158, 1171, 1240, 1280, 1416, 1437, 1632, 1661, 1677, 1681, 1849, 1946, 1960, 2007, 2090, 2092, 2225, 2242, 2244, 2377, 2483, ...
|-
|87||8, 27, 33, 34, 59, 118, 119, 124, 155, 189, 249, 263, 270, 275, 286, 334, 342, 382, 402, 414, 421, 468, 474, 486, 501, 530, 563, 577, 655, 697, 764, 895, 915, 932, 1108, 1175, 1188, 1228, 1234, 1268, 1277, 1308, 1357, 1358, 1370, 1373, 1400, 1491, 1519, 1529, 1558, 1560, 1658, 1693, 1699, 1735, 1745, 1773, 1805, 1866, 1876, 1905, 1915, 1961, 1996, 2161, 2192, 2227, 2297, 2321, 2446, 2483, ...
|-
|88||5, 97, 131, 189, 199, 200, 258, 263, 289, 317, 352, 398, 470, 533, 554, 601, 603, 606, 732, 764, 765, 819, 869, 872, 888, 961, 1197, 1299, 1355, 1435, 1469, 1471, 1522, 1577, 1582, 1638, 1649, 1743, 1768, 1788, 1829, 1860, 1879, 1946, 1994, 2091, 2208, 2289, 2297, 2302, 2322, 2378, 2401, 2475, 2487, ...
|-
|89||2, 114, 159, 190, 234, 251, 436, 616, 834, 878, 1008, 1049, 1060, 1062, 1118, 1472, 1689, 1792, 2282, 2334, 2463, 2494, ...
|-
|90||2, 5, 6, 58, 66, 71, 78, 80, 96, 101, 122, 127, 148, 153, 183, 194, 198, 211, 244, 258, 261, 354, 387, 390, 413, 415, 446, 447, 450, 465, 475, 480, 502, 524, 532, 549, 577, 590, 607, 608, 610, 620, 623, 635, 668, 678, 716, 793, 844, 859, 862, 879, 895, 915, 958, 963, 969, 974, 1009, 1035, 1080, 1093, 1095, 1136, 1137, 1178, 1219, 1225, 1230, 1296, 1301, 1309, 1315, 1352, 1359, 1369, 1375, 1381, 1383, 1389, 1411, 1450, 1453, 1463, 1514, 1599, 1638, 1651, 1682, 1692, 1705, 1710, 1734, 1768, 1803, 1850, 1883, 1936, 1965, 2037, 2041, 2066, 2108, 2111, 2114, 2117, 2120, 2145, 2164, 2195, 2210, 2225, 2287, 2293, 2327, 2382, 2387, 2389, 2406, 2407, 2458, 2470, 2472, 2483, 2485, 2498, ...
|-
|91||11, 19, 28, 30, 46, 80, 116, 140, 159, 198, 272, 331, 357, 360, 448, 544, 728, 827, 854, 910, 937, 1019, 1041, 1106, 1164, 1174, 1226, 1229, 1287, 1307, 1327, 1348, 1408, 1471, 1473, 1618, 1642, 1751, 1810, 1900, 1965, 1976, 2051, 2110, 2206, 2226, 2254, 2331, ...
|-
|92||4, 5, 12, 19, 43, 47, 70, 164, 183, 225, 258, 261, 287, 297, 306, 323, 335, 340, 351, 363, 383, 397, 442, 534, 545, 558, 572, 594, 624, 652, 656, 659, 666, 673, 681, 696, 701, 724, 730, 773, 810, 887, 923, 933, 972, 997, 1002, 1006, 1061, 1124, 1135, 1178, 1196, 1225, 1230, 1313, 1356, 1407, 1409, 1451, 1452, 1483, 1576, 1586, 1602, 1607, 1612, 1619, 1667, 1691, 1697, 1823, 1827, 1935, 1963, 1992, 2035, 2099, 2138, 2156, 2199, 2252, 2274, 2299, 2393, 2398, 2447, 2477, ...
|-
|93||2, 10, 15, 22, 27, 63, 98, 113, 142, 156, 188, 236, 278, 282, 293, 300, 315, 333, 353, 374, 420, 487, 509, 558, 580, 592, 793, 924, 1099, 1131, 1195, 1242, 1268, 1274, 1321, 1357, 1413, 1484, 1542, 1547, 1611, 1683, 1699, 1702, 1711, 1730, 1746, 1760, 1819, 1854, 1895, 1902, 2026, 2077, 2092, 2111, 2151, 2222, 2272, 2328, 2388, 2390, 2409, 2450, 2475, 2482, 2483, ...
|-
|94||6, 7, 17, 90, 126, 139, 143, 257, 293, 295, 319, 328, 387, 482, 519, 603, 720, 751, 819, 884, 896, 903, 905, 921, 952, 954, 956, 1042, 1058, 1147, 1170, 1237, 1253, 1279, 1295, 1343, 1366, 1370, 1406, 1465, 1514, 1593, 1595, 1607, 1609, 1622, 1701, 1705, 1709, 1736, 1772, 1791, 1833, 1860, 1866, 1879, 1969, 1990, 1992, 2059, 2115, 2132, 2169, 2219, 2233, 2253, 2344, ...
|-
|95||44, 47, 66, 155, 187, 344, 345, 448, 492, 525, 546, 611, 642, 704, 721, 748, 820, 858, 1062, 1108, 1112, 1195, 1277, 1314, 1453, 1558, 1597, 1667, 1725, 1760, 1780, 1793, 1807, 1901, 1963, 1983, 2021, 2055, 2060, 2251, 2266, 2331, ...
|-
|96||4, 19, 28, 36, 44, 79, 94, 106, 109, 125, 132, 147, 319, 343, 399, 412, 415, 435, 441, 449, 463, 491, 562, 576, 625, 643, 646, 649, 691, 701, 712, 787, 788, 820, 824, 840, 851, 976, 994, 1047, 1079, 1111, 1112, 1136, 1195, 1216, 1219, 1225, 1291, 1309, 1339, 1359, 1425, 1456, 1466, 1520, 1525, 1533, 1540, 1543, 1601, 1633, 1668, 1679, 1738, 1744, 1746, 1789, 1854, 1873, 1922, 2056, 2101, 2110, 2159, 2225, 2266, 2267, 2286, 2301, 2320, 2346, 2378, 2395, 2424, 2468, 2488, ...
|-
|97||12, 90, 104, 234, 271, 339, 420, 421, 428, 429, 464, 805, 909, 934, 1054, 1114, 1116, 1128, 1144, 1159, 1193, 1364, 1788, 2086, 2215, 2254, 2448, 2461, ...
|-
|98||2, 19, 20, 40, 52, 75, 80, 88, 95, 98, 100, 103, 106, 123, 124, 162, 176, 198, 220, 276, 311, 358, 396, 427, 429, 522, 525, 529, 555, 576, 586, 605, 675, 695, 733, 782, 811, 833, 872, 879, 891, 898, 950, 952, 971, 977, 982, 1076, 1090, 1150, 1156, 1219, 1231, 1257, 1260, 1312, 1340, 1483, 1621, 1707, 1716, 1742, 1774, 1806, 1810, 1847, 1850, 1926, 1935, 1975, 2019, 2042, 2090, 2153, 2167, 2169, 2238, 2260, 2262, 2306, 2346, 2356, 2451, 2474, ...
|-
|99||63, 88, 113, 123, 134, 146, 217, 284, 320, 352, 504, 511, 532, 544, 603, 704, 802, 840, 870, 974, 1205, 1242, 1278, 1414, 1441, 1471, 1516, 1579, 1660, 1740, 1763, 1765, 1846, 1874, 1889, 1932, 1939, 1980, 2095, 2132, 2136, 2396, 2493, ...
|-
|100||20, 22, 88, 106, 114, 133, 179, 189, 222, 224, 234, 312, 326, 333, 355, 440, 443, 492, 509, 535, 615, 676, 727, 751, 765, 767, 812, 813, 845, 925, 988, 1032, 1089, 1106, 1229, 1249, 1259, 1281, 1323, 1343, 1434, 1435, 1461, 1482, 1536, 1621, 1649, 1678, 1692, 1739, 1779, 1824, 1979, 2020, 2021, 2033, 2052, 2164, 2186, 2322, 2391, 2418, 2438, 2457, ...
|}

{|class="wikitable"
|prime ''p''
|bases such that ''p'' is unique prime
|-
|2||3, 5, 9, 17, 33, 65, 129, 257, 513, 1025, 2049, 4097, 8193, 16385, 32769, 65537, 131073, 262145, 524289, ...
|-
|3||2, 4, 5, 8, 10, 11, 17, 23, 26, 28, 35, 47, 53, 71, 80, 82, 95, 107, 143, 161, 191, 215, 242, 244, 287, 323, 383, 431, 485, 575, 647, 728, 730, 767, 863, 971, 1151, 1295, 1457, 1535, 1727, 1943, 2186, 2188, 2303, 2591, 2915, 3071, 3455, 3887, 4373, 4607, 5183, 5831, 6143, 6560, 6562, 6911, 7775, 8747, 9215, 10367, 11663, 12287, 13121, 13823, 15551, 17495, 18431, 19682, 19684, 20735, 23327, 24575, 26243, 27647, 31103, 34991, 36863, 39365, 41471, 46655, 49151, 52487, 55295, 59048, 59050, 62207, 69983, 73727, 78731, 82943, 93311, 98303, 104975, 110591, 118097, 124415, 139967, 147455, 157463, 165887, 177146, 177148, 186623, 196607, 209951, 221183, 236195, 248831, 279935, 294911, 314927, 331775, 354293, 373247, 393215, 419903, 442367, 472391, 497663, 531440, 531442, 559871, 589823, 629855, 663551, 708587, 746495, 786431, 839807, 884735, 944783, 995327, ...
|-
|5||2, 3, 4, 6, 7, 9, 19, 24, 26, 39, 49, 79, 99, 124, 126, 159, 199, 249, 319, 399, 499, 624, 626, 639, 799, 999, 1249, 1279, 1599, 1999, 2499, 2559, 3124, 3126, 3199, 3999, 4999, 5119, 6249, 6399, 7999, 9999, 10239, 12499, 12799, 15624, 15626, 15999, 19999, 20479, 24999, 25599, 31249, 31999, 39999, 40959, 49999, 51199, 62499, 63999, 78124, 78126, 79999, 81919, 99999, 102399, 124999, 127999, 156249, 159999, 163839, 199999, 204799, 249999, 255999, 312499, 319999, 327679, 390624, 390626, 399999, 409599, 499999, 511999, 624999, 639999, 655359, 781249, 799999, 819199, 999999, ...
|-
|7||2, 3, 4, 5, 6, 8, 13, 18, 19, 27, 48, 50, 55, 97, 111, 195, 223, 342, 344, 391, 447, 685, 783, 895, 1371, 1567, 1791, 2400, 2402, 2743, 3135, 3583, 4801, 5487, 6271, 7167, 9603, 10975, 12543, 14335, 16806, 16808, 19207, 21951, 25087, 28671, 33613, 38415, 43903, 50175, 57343, 67227, 76831, 87807, 100351, 114687, 117648, 117650, 134455, 153663, 175615, 200703, 229375, 235297, 268911, 307327, 351231, 401407, 458751, 470595, 537823, 614655, 702463, 802815, 823542, 823544, 917503, 941191, ...
|-
|11||2, 3, 10, 12, 21, 43, 87, 120, 122, 175, 241, 351, 483, 703, 967, 1330, 1332, 1407, 1935, 2661, 2815, 3871, 5323, 5631, 7743, 10647, 11263, 14640, 14642, 15487, 21295, 22527, 29281, 30975, 42591, 45055, 58563, 61951, 85183, 90111, 117127, 123903, 161050, 161052, 170367, 180223, 234255, 247807, 322101, 340735, 360447, 468511, 495615, 644203, 681471, 720895, 937023, 991231, ...
|-
|13||2, 3, 4, 5, 12, 14, 22, 23, 25, 51, 103, 168, 170, 207, 239, 337, 415, 675, 831, 1351, 1663, 2196, 2198, 2703, 3327, 4393, 5407, 6655, 8787, 10815, 13311, 17575, 21631, 26623, 28560, 28562, 35151, 43263, 53247, 57121, 70303, 86527, 106495, 114243, 140607, 173055, 212991, 228487, 281215, 346111, 371292, 371294, 425983, 456975, 562431, 692223, 742585, 851967, 913951, ...
|-
|17||2, 4, 16, 18, 33, 67, 135, 271, 288, 290, 543, 577, 1087, 1155, 2175, 2311, 4351, 4623, 4912, 4914, 8703, 9247, 9825, 17407, 18495, 19651, 34815, 36991, 39303, 69631, 73983, 78607, 83520, 83522, 139263, 147967, 157215, 167041, 278527, 295935, 314431, 334083, 557055, 591871, 628863, 668167, ...
|-
|19||2, 7, 8, 18, 20, 37, 75, 151, 303, 360, 362, 607, 721, 1215, 1443, 2431, 2887, 4863, 5775, 6858, 6860, 9727, 11551, 13717, 19455, 23103, 27435, 38911, 46207, 54871, 77823, 92415, 109743, 130320, 130322, 155647, 184831, 219487, 260641, 311295, 369663, 438975, 521283, 622591, 739327, 877951, ...
|-
|23||22, 24, 45, 91, 183, 367, 528, 530, 735, 1057, 1471, 2115, 2943, 4231, 5887, 8463, 11775, 12166, 12168, 16927, 23551, 24333, 33855, 47103, 48667, 67711, 94207, 97335, 135423, 188415, 194671, 270847, 279840, 279842, 376831, 389343, 541695, 559681, 753663, 778687, ...
|-
|29||28, 30, 41, 57, 115, 231, 463, 840, 842, 927, 1681, 1855, 3363, 3711, 6727, 7423, 13455, 14847, 24388, 24390, 26911, 29695, 48777, 53823, 59391, 97555, 107647, 118783, 195111, 215295, 237567, 390223, 430591, 475135, 707280, 707282, 780447, 861183, 950271, ...
|-
|31||2, 5, 6, 30, 32, 61, 123, 247, 495, 960, 962, 991, 1921, 1983, 3843, 3967, 7687, 7935, 15375, 15871, 29790, 29792, 30751, 31743, 59581, 61503, 63487, 119163, 123007, 126975, 238327, 246015, 253951, 476655, 492031, 507903, 923520, 923522, 953311, 984063, ...
|-
|37||6, 10, 11, 36, 38, 73, 147, 295, 591, 1183, 1368, 1370, 2367, 2737, 4735, 5475, 9471, 10951, 18943, 21903, 37887, 43807, 50652, 50654, 75775, 87615, 101305, 151551, 175231, 202611, 303103, 350463, 405223, 606207, 700927, 810447, ...
|-
|41||2, 3, 4, 9, 40, 42, 81, 163, 327, 655, 1311, 1680, 1682, 2623, 3361, 5247, 6723, 10495, 13447, 20991, 26895, 41983, 53791, 68920, 68922, 83967, 107583, 137841, 167935, 215167, 275683, 335871, 430335, 551367, 671743, 860671, ...
|-
|43||2, 6, 7, 42, 44, 85, 171, 343, 687, 1375, 1848, 1850, 2751, 3697, 5503, 7395, 11007, 14791, 22015, 29583, 44031, 59167, 79506, 79508, 88063, 118335, 159013, 176127, 236671, 318027, 352255, 473343, 636055, 704511, 946687, ...
|-
|47||46, 48, 93, 187, 375, 751, 1503, 2208, 2210, 3007, 4417, 6015, 8835, 12031, 17671, 24063, 35343, 48127, 70687, 96255, 103822, 103824, 141375, 192511, 207645, 282751, 385023, 415291, 565503, 770047, 830583, ...
|-
|53||52, 54, 105, 211, 423, 847, 1695, 2808, 2810, 3391, 5617, 6783, 11235, 13567, 22471, 27135, 44943, 54271, 89887, 108543, 148876, 148878, 179775, 217087, 297753, 359551, 434175, 595507, 719103, 868351, ...
|-
|59||58, 60, 117, 235, 471, 943, 1887, 3480, 3482, 3775, 6961, 7551, 13923, 15103, 27847, 30207, 55695, 60415, 111391, 120831, 205378, 205380, 222783, 241663, 410757, 445567, 483327, 821515, 891135, 966655, ...
|-
|61||3, 11, 13, 14, 60, 62, 121, 243, 487, 975, 1951, 3720, 3722, 3903, 7441, 7807, 14883, 15615, 29767, 31231, 59535, 62463, 119071, 124927, 226980, 226982, 238143, 249855, 453961, 476287, 499711, 907923, 952575, 999423, ...
|-
|67||66, 68, 133, 267, 535, 1071, 2143, 4287, 4488, 4490, 8575, 8977, 17151, 17955, 34303, 35911, 68607, 71823, 137215, 143647, 274431, 287295, 300762, 300764, 548863, 574591, 601525, ...
|-
|71||70, 72, 141, 283, 567, 1135, 2271, 4543, 5040, 5042, 9087, 10081, 18175, 20163, 36351, 40327, 72703, 80655, 145407, 161311, 290815, 322623, 357910, 357912, 581631, 645247, 715821, ...
|-
|73||2, 3, 8, 9, 72, 74, 145, 291, 583, 1167, 2335, 4671, 5328, 5330, 9343, 10657, 18687, 21315, 37375, 42631, 74751, 85263, 149503, 170527, 299007, 341055, 389016, 389018, 598015, 682111, 778033, ...
|-
|79||78, 80, 157, 315, 631, 1263, 2527, 5055, 6240, 6242, 10111, 12481, 20223, 24963, 40447, 49927, 80895, 99855, 161791, 199711, 323583, 399423, 493038, 493040, 647167, 798847, 986077, ...
|-
|83||82, 84, 165, 331, 663, 1327, 2655, 5311, 6888, 6890, 10623, 13777, 21247, 27555, 42495, 55111, 84991, 110223, 169983, 220447, 339967, 440895, 571786, 571788, 679935, 881791, ...
|-
|89||88, 90, 177, 355, 711, 1423, 2847, 5695, 7920, 7922, 11391, 15841, 22783, 31683, 45567, 63367, 91135, 126735, 182271, 253471, 364543, 506943, 704968, 704970, 729087, ...
|-
|97||96, 98, 193, 387, 775, 1551, 3103, 6207, 9408, 9410, 12415, 18817, 24831, 37635, 49663, 75271, 99327, 150543, 198655, 301087, 397311, 602175, 794623, 912672, 912674, ...
|}

==Bibliography==

* Chris K. Caldwell, Harvey Dubner, "Unique-period primes", ''Journal of Recreational Mathematics'' '''29''':1:43-48 (1998) [http://www.utm.edu/staff/caldwell/preprints/unique.pdf preprint]

==References==
<references/>
* {{cite journal | last=Yates | first=Samuel | title=Periods of unique primes | zbl=0445.10009 | journal=Math. Mag. | volume=53 | page=314 | year=1980 }}

== External links ==
* [http://primes.utm.edu/lists/top_ten/topten.pdf Prime Top Tens]
* [http://www.utm.edu/staff/caldwell/preprints/unique.pdf Unique Period Primes]
* [http://stdkmd.com/nrr/repunit/ Factorization of repunit numbers]

{{Prime number classes}}

[[Category:Classes of prime numbers]]
[[Category:Base-dependent integer sequences]]

{{Sourceattribution|Unique prime|1}}