9000 (number)

From HandWiki
Short description: Natural number
← 8999 9000 9001 →
Cardinalnine thousand
Ordinal9000th
(nine thousandth)
Factorization23 × 32 × 53
Greek numeral,Θ´
Roman numeralMX, or IX
Unicode symbol(s)MX, mx, IX, ix
Binary100011001010002
Ternary1101001003
Quaternary20302204
Quinary2420005
Senary1054006
Octal214508
Duodecimal526012
Hexadecimal232816
Vigesimal12A020
Base 366Y036

9000 (nine thousand) is the natural number following 8999 and preceding 9001.

Selected numbers in the range 9001–9999

9001 to 9099

9100 to 9199

9200 to 9299

  • 9216 = 962
  • 9221 – Sophie Germain prime
  • 9224 – octahedral number[7]
  • 9241cuban prime of the form x = y + 1[8]
  • 9261 = 213, largest 4 digit perfect cube
  • 9272weird number[9]
  • 9283 – centered heptagonal number
  • 9293 – Sophie Germain prime, super-prime

9300 to 9399

9400 to 9499

9500 to 9599

  • 9511 - prime number
  • 9521 - prime number
  • 9533 - prime number
  • 9539 – Sophie Germain prime, super-prime
  • 9551 – first prime followed by as many as 35 consecutive composite numbers
  • 9587 – safe prime, follows 35 consecutive composite numbers
  • 9591 – triangular number
  • 9592 - amount of prime numbers under 100,000


9600 to 9699

  • 9601Proth prime
  • 9604 = 982
  • 9619super-prime
  • 9629 – Sophie Germain prime
  • 9647 – centered heptagonal number
  • 9661 – super-prime, sum of nine consecutive primes (1049 + 1051 + 1061 + 1063 + 1069 + 1087 + 1091 + 1093 + 1097)
  • 9689 – Sophie Germain prime
  • 9699 – nonagonal number

9700 to 9799

  • 9721 – prime of the form 2p-1
  • 9730 – triangular number
  • 9739super-prime
  • 9743 – safe prime
  • 9791 – Sophie Germain prime

9800 to 9899

  • 9800 – member of a Ruth-Aaron pair (first definition) with 9801
  • 9801 = 992, the largest 4 digit perfect square, centered octagonal number, square pentagonal number, member of a Ruth-Aaron pair (first definition) with 9800
  • 9833super-prime
  • 9839 – safe prime
  • 9850 – decagonal number
  • 9855magic constant of n × n normal magic square and n-Queens Problem for n = 27.
  • 9857Proth prime
  • 9859 – super-prime
  • 9870 – triangular number
  • 9871 – balanced prime
  • 9880 – tetrahedral number[5]
  • 9887 – safe prime

9900 to 9999

  • 9901 – unique prime, sum of seven consecutive primes (1381 + 1399 + 1409 + 1423 + 1427 + 1429 + 1433)[3]
  • 9905 – number of compositions of 16 whose run-lengths are either weakly increasing or weakly decreasing[12]
  • 9923super-prime, probably smallest certainly executable prime number on x86 MS-DOS[13]
  • 9949 – sum of nine consecutive primes (1087 + 1091 + 1093 + 1097 + 1103 + 1109 + 1117 + 1123 + 1129)
  • 9973 – super-prime
  • 9999Kaprekar number, repdigit

Prime numbers

There are 112 prime numbers between 9000 and 10000:[14][15]

9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973

References

  1. "Sloane's A005898 : Centered cube numbers". OEIS Foundation. https://oeis.org/A005898. 
  2. "Sloane's A002559 : Markoff (or Markov) numbers". OEIS Foundation. https://oeis.org/A002559. 
  3. 3.0 3.1 "Sloane's A040017 : Unique period primes". OEIS Foundation. https://oeis.org/A040017. 
  4. "Sloane's A002411 : Pentagonal pyramidal numbers". OEIS Foundation. https://oeis.org/A002411. 
  5. 5.0 5.1 "Sloane's A000292 : Tetrahedral numbers". OEIS Foundation. https://oeis.org/A000292. 
  6. Brunner, Amy; Caldwell, Chris K.; Krywaruczenko, Daniel and Lownsdale, Chris. "GENERALIZED SIERPIŃSKI NUMBERS BASE b". University of Tennessee at Martin. https://www.utm.edu/staff/caldwell/preprints/2to100.pdf. 
  7. "Sloane's A005900 : Octahedral numbers". OEIS Foundation. https://oeis.org/A005900. 
  8. "Sloane's A002407 : Cuban primes". OEIS Foundation. https://oeis.org/A002407. 
  9. "Sloane's A006037 : Weird numbers". OEIS Foundation. https://oeis.org/A006037. 
  10. "Sloane's A005479 : Prime Lucas numbers". OEIS Foundation. https://oeis.org/A005479. 
  11. "Sloane's A000330 : Square pyramidal numbers". OEIS Foundation. https://oeis.org/A000330. 
  12. 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. 
  13. An Executable Prime Number?, http://asdf.org/~fatphil/maths/illegal.html 
  14. Sloane, N. J. A., ed. "Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". OEIS Foundation. https://oeis.org/A038823. 
  15. Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". https://wstein.org/talks/2017-02-10-wing-rh_and_bsd/.