300 (number)
| ||||
---|---|---|---|---|
Cardinal | three hundred | |||
Ordinal | 300th (three hundredth) | |||
Factorization | 22 × 3 × 52 | |||
Greek numeral | Τ´ | |||
Roman numeral | CCC | |||
Binary | 1001011002 | |||
Ternary | 1020103 | |||
Quaternary | 102304 | |||
Quinary | 22005 | |||
Senary | 12206 | |||
Octal | 4548 | |||
Duodecimal | 21012 | |||
Hexadecimal | 12C16 | |||
Vigesimal | F020 | |||
Base 36 | 8C36 | |||
Hebrew | ש (Shin) |
300 (three hundred) is the natural number following 299 and preceding 301.
Mathematical properties
The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 30010 = 6067 = 4548 = 3639, and also in base 13. Factorization is 22 × 3 × 52. 30064 + 1 is prime
Integers from 301 to 399
300s
301
302
303
304
305
306
307
308
308 = 22 × 7 × 11. 308 is a nontotient,[1] totient sum of the first 31 integers, heptagonal pyramidal number,[2] and the sum of two consecutive primes (151 + 157).
309
309 = 3 × 103, Blum integer, number of primes <= 211.[3]
310s
310
311
312
312 = 23 × 3 × 13, idoneal number.
313
314
314 = 2 × 157. 314 is a nontotient,[1] smallest composite number in Somos-4 sequence.[4]
315
315 = 32 × 5 × 7 = [math]\displaystyle{ D_{7,3} \! }[/math] rencontres number, highly composite odd number, having 12 divisors.[5]
316
316 = 22 × 79, a centered triangular number[6] and a centered heptagonal number.[7]
317
317 is a prime number, Eisenstein prime with no imaginary part, Chen prime,[8] and a strictly non-palindromic number.
317 is the exponent (and number of ones) in the fourth base-10 repunit prime.[9]
318
319
319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109), Smith number,[10] cannot be represented as the sum of fewer than 19 fourth powers, happy number in base 10[11]
320s
320
320 = 26 × 5 = (25) × (2 × 5). 320 is a Leyland number,[12] and maximum determinant of a 10 by 10 matrix of zeros and ones.
321
321 = 3 × 107, a Delannoy number[13]
322
322 = 2 × 7 × 23. 322 is a sphenic,[14] nontotient, untouchable,[citation needed] and a Lucas number.[15]
323
323 = 17 × 19. 323 is the sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), the sum of the 13 consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47), Motzkin number.[16] A Lucas and Fibonacci pseudoprime. See 323 (disambiguation)
324
324 = 22 × 34 = 182. 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, a square number,[17] and an untouchable number.[citation needed]
325
325 = 52 × 13. 325 is a triangular number, hexagonal number,[18] nonagonal number,[19] centered nonagonal number.[20] 325 is the smallest number to be the sum of two squares in 3 different ways: 12 + 182, 62 + 172 and 102 + 152. 325 is also the smallest (and only known) 3-hyperperfect number.
326
326 = 2 × 163. 326 is a nontotient, noncototient,[21] and an untouchable number.[citation needed] 326 is the sum of the 14 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47), lazy caterer number (sequence A000124 in the OEIS).
327
327 = 3 × 109. 327 is a perfect totient number,[22] number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing[23]
328
328 = 23 × 41. 328 is a refactorable number,[24] and it is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).
329
329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a highly cototient number.[25]
330s
330
330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number (and hence a binomial coefficient [math]\displaystyle{ \tbinom {11}4 }[/math]), a pentagonal number,[26] divisible by the number of primes below it, and a sparsely totient number.[27]
331
331 is a prime number, super-prime, cuban prime,[28] sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number,[29] centered hexagonal number,[30] and Mertens function returns 0.[31]
332
332 = 22 × 83, Mertens function returns 0.[31]
333
333 = 32 × 37, Mertens function returns 0,[31]
334
334 = 2 × 167, nontotient.[32]
335
335 = 5 × 67, divisible by the number of primes below it, number of Lyndon words of length 12.
336
336 = 24 × 3 × 7, untouchable number,[citation needed] number of partitions of 41 into prime parts.[33]
337
337, prime number, emirp, permutable prime with 373 and 733, Chen prime,[8] star number
338
338 = 2 × 132, nontotient, number of square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.[34]
339
339 = 3 × 113, Ulam number[35]
340s
340
340 = 22 × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (41 + 42 + 43 + 44), divisible by the number of primes below it, nontotient, noncototient.[21] Number of regions formed by drawing the line segments connecting any two of the 12 perimeter points of a 3 times 3 grid of squares (sequence A331452 in the OEIS) and (sequence A255011 in the OEIS).
341
341 = 11 × 31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number,[36] centered cube number,[37] super-Poulet number. 341 is the smallest Fermat pseudoprime; it is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "bm−1 − 1 is divisible by m", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.
342
342 = 2 × 32 × 19, pronic number,[38] Untouchable number.[citation needed]
343
343 = 73, the first nice Friedman number that is composite since 343 = (3 + 4)3. It is the only known example of x2+x+1 = y3, in this case, x=18, y=7. It is z3 in a triplet (x,y,z) such that x5 + y2 = z3.
344
344 = 23 × 43, octahedral number,[39] noncototient,[21] totient sum of the first 33 integers, refactorable number.[24]
345
345 = 3 × 5 × 23, sphenic number,[14] idoneal number
346
346 = 2 × 173, Smith number,[10] noncototient.[21]
347
347 is a prime number, emirp, safe prime,[40] Eisenstein prime with no imaginary part, Chen prime,[8] Friedman prime since 347 = 73 + 4, and a strictly non-palindromic number.
348
348 = 22 × 3 × 29, sum of four consecutive primes (79 + 83 + 89 + 97), refactorable number.[24]
349
349, prime number, sum of three consecutive primes (109 + 113 + 127), 5349 - 4349 is a prime number.[41]
350s
350
350 = 2 × 52 × 7 = [math]\displaystyle{ \left\{ {7 \atop 4} \right\} }[/math], primitive semiperfect number,[42] divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.
351
351 = 33 × 13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence[43] and number of compositions of 15 into distinct parts.[44]
352
352 = 25 × 11, the number of n-Queens Problem solutions for n = 9. It is the sum of two consecutive primes (173 + 179), lazy caterer number (sequence A000124 in the OEIS).
353
354
354 = 2 × 3 × 59 = 14 + 24 + 34 + 44,[45][46] sphenic number,[14] nontotient, also SMTP code meaning start of mail input. It is also sum of absolute value of the coefficients of Conway's polynomial.
355
355 = 5 × 71, Smith number,[10] Mertens function returns 0,[31] divisible by the number of primes below it.
The numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as Milü and provides an extremely accurate approximation for pi.
356
356 = 22 × 89, Mertens function returns 0.[31]
357
357 = 3 × 7 × 17, sphenic number.[14]
358
358 = 2 × 179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0,[31] number of ways to partition {1,2,3,4,5} and then partition each cell (block) into subcells.[47]
359
360s
360
361
361 = 192, centered triangular number,[6] centered octagonal number, centered decagonal number,[48] member of the Mian–Chowla sequence;[49] also the number of positions on a standard 19 x 19 Go board.
362
362 = 2 × 181 = σ2(19): sum of squares of divisors of 19,[50] Mertens function returns 0,[31] nontotient, noncototient.[21]
363
364
364 = 22 × 7 × 13, tetrahedral number,[51] sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0,[31] nontotient. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44), the sum of six consecutive powers of 3 (1 + 3 + 9 + 27 + 81 + 243), and because it is the twelfth non-zero tetrahedral number.[52]
365
366
366 = 2 × 3 × 61, sphenic number,[14] Mertens function returns 0,[31] noncototient,[21] number of complete partitions of 20,[53] 26-gonal and 123-gonal. Also the number of days in a leap year.
367
367 is a prime number, Perrin number,[54] happy number, prime index prime and a strictly non-palindromic number.
368
368 = 24 × 23. It is also a Leyland number.[12]
369
370s
370
370 = 2 × 5 × 37, sphenic number,[14] sum of four consecutive primes (83 + 89 + 97 + 101), nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted, Base 10 Armstrong number since 33 + 73 + 03 = 370.
371
371 = 7 × 53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor (sequence A055233 in the OEIS), the next such composite number is 2935561623745, Armstrong number since 33 + 73 + 13 = 371.
372
372 = 22 × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), noncototient,[21] untouchable number,[citation needed] refactorable number.[24]
373
373, prime number, balanced prime,[55] two-sided prime, sum of five consecutive primes (67 + 71 + 73 + 79 + 83), permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 5658 = 4549 = 37310 and also in base 4: 113114.
374
374 = 2 × 11 × 17, sphenic number,[14] nontotient, 3744 + 1 is prime.[56]
375
375 = 3 × 53, number of regions in regular 11-gon with all diagonals drawn.[57]
376
376 = 23 × 47, pentagonal number,[26] 1-automorphic number,[58] nontotient, refactorable number.[24] There is a math puzzle in which when 376 is squared, 376 is also the last three digits, as 376 * 376 = 141376 [59]
377
377 = 13 × 29, Fibonacci number, a centered octahedral number,[60] a Lucas and Fibonacci pseudoprime, the sum of the squares of the first six primes.
378
378 = 2 × 33 × 7, triangular number, cake number, hexagonal number,[18] Smith number.[10]
379
379 is a prime number, Chen prime,[8] lazy caterer number (sequence A000124 in the OEIS) and a happy number in base 10. It is the sum of the 15 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53). 379! - 1 is prime.
380s
380
380 = 22 × 5 × 19, pronic number.[38]
381
381 = 3 × 127, palindromic in base 2 and base 8.
It is the sum of the first 16 prime numbers (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).
382
382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.[10]
383
383, prime number, safe prime,[40] Woodall prime,[61] Thabit number, Eisenstein prime with no imaginary part, palindromic prime. It is also the first number where the sum of a prime and the reversal of the prime is also a prime.[62] 4383 - 3383 is prime.
384
385
385 = 5 × 7 × 11, sphenic number,[14] square pyramidal number,[63] the number of integer partitions of 18.
385 = 102 + 92 + 82 + 72 + 62 + 52 + 42 + 32 + 22 + 12
386
386 = 2 × 193, nontotient, noncototient,[21] centered heptagonal number,[7] number of surface points on a cube with edge-length 9.[64]
387
387 = 32 × 43, number of graphical partitions of 22.[65]
388
388 = 22 × 97 = solution to postage stamp problem with 6 stamps and 6 denominations,[66] number of uniform rooted trees with 10 nodes.[67]
389
389, prime number, emirp, Eisenstein prime with no imaginary part, Chen prime,[8] highly cototient number,[25] strictly non-palindromic number. Smallest conductor of a rank 2 Elliptic curve.
390s
390
390 = 2 × 3 × 5 × 13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient,
- [math]\displaystyle{ \sum_{n=0}^{10}{390}^{n} }[/math] is prime[68]
391
391 = 17 × 23, Smith number,[10] centered pentagonal number.[29]
392
392 = 23 × 72, Achilles number.
393
393 = 3 × 131, Blum integer, Mertens function returns 0.[31]
394
394 = 2 × 197 = S5 a Schröder number,[69] nontotient, noncototient.[21]
395
395 = 5 × 79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89), number of (unordered, unlabeled) rooted trimmed trees with 11 nodes.[70]
396
396 = 22 × 32 × 11, sum of twin primes (197 + 199), totient sum of the first 36 integers, refactorable number,[24] Harshad number, digit-reassembly number.
397
397, prime number, cuban prime,[28] centered hexagonal number.[30]
398
398 = 2 × 199, nontotient.
- [math]\displaystyle{ \sum_{n=0}^{10}{398}^{n} }[/math] is prime[68]
399
399 = 3 × 7 × 19, sphenic number,[14] smallest Lucas–Carmichael number, Leyland number of the second kind. 399! + 1 is prime.
References
- ↑ 1.0 1.1 Sloane, N. J. A., ed. "Sequence A005277". OEIS Foundation. https://oeis.org/A005277.
- ↑ Sloane, N. J. A., ed. "Sequence A002413 (Heptagonal pyramidal numbers)". OEIS Foundation. https://oeis.org/A002413. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A007053 (Number of primes <= 2^n)". OEIS Foundation. https://oeis.org/A007053. Retrieved 2022-06-02.
- ↑ Sloane, N. J. A., ed. "Sequence A006720 (Somos-4 sequence)". OEIS Foundation. https://oeis.org/A006720.
- ↑ "A053624 - OEIS". https://oeis.org/A053624.
- ↑ 6.0 6.1 Sloane, N. J. A., ed. "Sequence A005448 (Centered triangular numbers)". OEIS Foundation. https://oeis.org/A005448. Retrieved 2016-05-21.
- ↑ 7.0 7.1 Sloane, N. J. A., ed. "Sequence A069099 (Centered heptagonal numbers)". OEIS Foundation. https://oeis.org/A069099. Retrieved 2016-05-21.
- ↑ 8.0 8.1 8.2 8.3 8.4 Sloane, N. J. A., ed. "Sequence A109611 (Chen primes)". OEIS Foundation. https://oeis.org/A109611. Retrieved 2016-05-21.
- ↑ Guy, Richard; Unsolved Problems in Number Theory, p. 7 ISBN:1475717385
- ↑ 10.0 10.1 10.2 10.3 10.4 10.5 Sloane, N. J. A., ed. "Sequence A006753 (Smith numbers)". OEIS Foundation. https://oeis.org/A006753. Retrieved 2016-05-21.
- ↑ Sloane, N. J. A., ed. "Sequence A007770 (Happy numbers: numbers whose trajectory under iteration of sum of squares of digits map (see A003132) includes 1)". OEIS Foundation. https://oeis.org/A007770.
- ↑ 12.0 12.1 Sloane, N. J. A., ed. "Sequence A076980 (Leyland numbers)". OEIS Foundation. https://oeis.org/A076980. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A001850 (Central Delannoy numbers)". OEIS Foundation. https://oeis.org/A001850. Retrieved 2016-05-21.
- ↑ 14.0 14.1 14.2 14.3 14.4 14.5 14.6 14.7 14.8 Sloane, N. J. A., ed. "Sequence A007304 (Sphenic numbers)". OEIS Foundation. https://oeis.org/A007304. Retrieved 2016-05-21.
- ↑ Sloane, N. J. A., ed. "Sequence A000032 (Lucas numbers)". OEIS Foundation. https://oeis.org/A000032. Retrieved 2016-05-21.
- ↑ Sloane, N. J. A., ed. "Sequence A001006 (Motzkin numbers)". OEIS Foundation. https://oeis.org/A001006. Retrieved 2016-05-22.
- ↑ "A000290 - OEIS". https://oeis.org/A000290.
- ↑ 18.0 18.1 Sloane, N. J. A., ed. "Sequence A000384 (Hexagonal numbers)". OEIS Foundation. https://oeis.org/A000384. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A001106 (9-gonal numbers)". OEIS Foundation. https://oeis.org/A001106. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A060544 (Centered 9-gonal numbers)". OEIS Foundation. https://oeis.org/A060544. Retrieved 2016-05-22.
- ↑ 21.0 21.1 21.2 21.3 21.4 21.5 21.6 21.7 21.8 Sloane, N. J. A., ed. "Sequence A005278 (Noncototients)". OEIS Foundation. https://oeis.org/A005278. Retrieved 2016-05-21.
- ↑ Sloane, N. J. A., ed. "Sequence A082897 (Perfect totient numbers)". OEIS Foundation. https://oeis.org/A082897. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A332835 (Number of compositions of n whose run-lengths are either weakly increasing or weakly decreasing)". OEIS Foundation. https://oeis.org/A332835. Retrieved 2022-06-02.
- ↑ 24.0 24.1 24.2 24.3 24.4 24.5 Sloane, N. J. A., ed. "Sequence A033950 (Refactorable numbers)". OEIS Foundation. https://oeis.org/A033950. Retrieved 2016-05-22.
- ↑ 25.0 25.1 Sloane, N. J. A., ed. "Sequence A100827 (Highly cototient numbers)". OEIS Foundation. https://oeis.org/A100827. Retrieved 2016-05-22.
- ↑ 26.0 26.1 Sloane, N. J. A., ed. "Sequence A000326 (Pentagonal numbers)". OEIS Foundation. https://oeis.org/A000326. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A036913 (Sparsely totient numbers)". OEIS Foundation. https://oeis.org/A036913. Retrieved 2016-05-22.
- ↑ 28.0 28.1 Sloane, N. J. A., ed. "Sequence A002407 (Cuban primes)". OEIS Foundation. https://oeis.org/A002407. Retrieved 2016-05-22.
- ↑ 29.0 29.1 Sloane, N. J. A., ed. "Sequence A005891 (Centered pentagonal numbers)". OEIS Foundation. https://oeis.org/A005891. Retrieved 2016-05-22.
- ↑ 30.0 30.1 Sloane, N. J. A., ed. "Sequence A003215 (Hex numbers)". OEIS Foundation. https://oeis.org/A003215. Retrieved 2016-05-22.
- ↑ 31.0 31.1 31.2 31.3 31.4 31.5 31.6 31.7 31.8 31.9 Sloane, N. J. A., ed. "Sequence A028442 (Numbers n such that Mertens' function is zero)". OEIS Foundation. https://oeis.org/A028442. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A003052 (Self numbers)". OEIS Foundation. https://oeis.org/A003052. Retrieved 2016-05-21.
- ↑ Sloane, N. J. A., ed. "Sequence A000607 (Number of partitions of n into prime parts)". OEIS Foundation. https://oeis.org/A000607.
- ↑ Sloane, N. J. A., ed. "Sequence A122400 (Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1)". OEIS Foundation. https://oeis.org/A122400.
- ↑ Sloane, N. J. A., ed. "Sequence A002858 (Ulam numbers)". OEIS Foundation. https://oeis.org/A002858.
- ↑ Sloane, N. J. A., ed. "Sequence A000567 (Octagonal numbers)". OEIS Foundation. https://oeis.org/A000567. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A005898 (Centered cube numbers)". OEIS Foundation. https://oeis.org/A005898. Retrieved 2016-05-22.
- ↑ 38.0 38.1 Number of regions into which a figure made up of a row of 6 adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles OEIS: A306302 and OEIS: A331452
- ↑ Sloane, N. J. A., ed. "Sequence A005900 (Octahedral numbers)". OEIS Foundation. https://oeis.org/A005900. Retrieved 2016-05-22.
- ↑ 40.0 40.1 Sloane, N. J. A., ed. "Sequence A005385 (Safe primes)". OEIS Foundation. https://oeis.org/A005385. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A059802 (Numbers k such that 5^k - 4^k is prime)". OEIS Foundation. https://oeis.org/A059802.
- ↑ Sloane, N. J. A., ed. "Sequence A006036 (Primitive pseudoperfect numbers)". OEIS Foundation. https://oeis.org/A006036. Retrieved 2016-05-21.
- ↑ Sloane, N. J. A., ed. "Sequence A000931 (Padovan sequence)". OEIS Foundation. https://oeis.org/A000931. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A032020 (Number of compositions (ordered partitions) of n into distinct parts)". OEIS Foundation. https://oeis.org/A032020. Retrieved 2022-05-24.
- ↑ Sloane, N. J. A., ed. "Sequence A000538 (Sum of fourth powers: 0^4 + 1^4 + ... + n^4)". OEIS Foundation. https://oeis.org/A000538.
- ↑ Sloane, N. J. A., ed. "Sequence A031971 (a(n) = Sum_{k=1..n} k^n)". OEIS Foundation. https://oeis.org/A031971.
- ↑ Sloane, N. J. A., ed. "Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1))". OEIS Foundation. https://oeis.org/A000258.
- ↑ Sloane, N. J. A., ed. "Sequence A062786 (Centered 10-gonal numbers)". OEIS Foundation. https://oeis.org/A062786. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A005282 (Mian-Chowla sequence)". OEIS Foundation. https://oeis.org/A005282. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A001157 (a(n) = sigma_2(n): sum of squares of divisors of n)". OEIS Foundation. https://oeis.org/A001157.
- ↑ Sloane, N. J. A., ed. "Sequence A000292 (Tetrahedral numbers)". OEIS Foundation. https://oeis.org/A000292. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A000292 (Tetrahedral (or triangular pyramidal) numbers)". OEIS Foundation. https://oeis.org/A000292.
- ↑ Sloane, N. J. A., ed. "Sequence A126796 (Number of complete partitions of n)". OEIS Foundation. https://oeis.org/A126796.
- ↑ Sloane, N. J. A., ed. "Sequence A001608 (Perrin sequence)". OEIS Foundation. https://oeis.org/A001608. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A006562 (Balanced primes)". OEIS Foundation. https://oeis.org/A006562. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A000068 (Numbers k such that k^4 + 1 is prime)". OEIS Foundation. https://oeis.org/A000068.
- ↑ Sloane, N. J. A., ed. "Sequence A007678 (Number of regions in regular n-gon with all diagonals drawn)". OEIS Foundation. https://oeis.org/A007678.
- ↑ Sloane, N. J. A., ed. "Sequence A003226 (Automorphic numbers)". OEIS Foundation. https://oeis.org/A003226. Retrieved 2016-05-22.
- ↑ https://www.mathsisfun.com/puzzles/algebra-cow-solution.html
- ↑ Sloane, N. J. A., ed. "Sequence A001845 (Centered octahedral numbers (crystal ball sequence for cubic lattice))". OEIS Foundation. https://oeis.org/A001845. Retrieved 2022-06-02.
- ↑ Sloane, N. J. A., ed. "Sequence A050918 (Woodall primes)". OEIS Foundation. https://oeis.org/A050918. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A072385 (Primes which can be represented as the sum of a prime and its reverse)". OEIS Foundation. https://oeis.org/A072385. Retrieved 2019-06-02.
- ↑ Sloane, N. J. A., ed. "Sequence A000330 (Square pyramidal numbers)". OEIS Foundation. https://oeis.org/A000330. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A005897 (a(n) = 6*n^2 + 2 for n > 0, a(0)=1)". OEIS Foundation. https://oeis.org/A005897.
- ↑ Sloane, N. J. A., ed. "Sequence A000569 (Number of graphical partitions of 2n)". OEIS Foundation. https://oeis.org/A000569.
- ↑ Sloane, N. J. A., ed. "Sequence A084192 (Array read by antidiagonals: T(n,k) = solution to postage stamp problem with n stamps and k denominations (n >= 1, k >= 1))". OEIS Foundation. https://oeis.org/A084192.
- ↑ Sloane, N. J. A., ed. "Sequence A317712 (Number of uniform rooted trees with n nodes)". OEIS Foundation. https://oeis.org/A317712.
- ↑ 68.0 68.1 Sloane, N. J. A., ed. "Sequence A162862 (Numbers n such that n^10 + n^9 + n^8 + n^7 + n^6 + n^5 + n^4 + n^3 + n^2 + n + 1 is prime)". OEIS Foundation. https://oeis.org/A162862. Retrieved 2022-06-02.
- ↑ Sloane, N. J. A., ed. "Sequence A006318 (Large Schröder numbers)". OEIS Foundation. https://oeis.org/A006318. Retrieved 2016-05-22.
- ↑ Sloane, N. J. A., ed. "Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes)". OEIS Foundation. https://oeis.org/A002955.
Original source: https://en.wikipedia.org/wiki/300 (number).
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