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5000 (number)

From Wikipedia, the free encyclopedia
(Redirected from Five thousand)
← 4999 5000 5001 →
Cardinalfive thousand
Ordinal5000th
(five thousandth)
Factorization23 × 54
Greek numeral,Ε´
Roman numeralV
Unicode symbol(s)V, v, ↁ
Binary10011100010002
Ternary202120123
Senary350526
Octal116108
Duodecimal2A8812
Hexadecimal138816
ArmenianՐ

5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is, at the same time, the largest isogrammic numeral, and the smallest number that contains everyone of the five vowels (a, e, i, o, u) in the English language.

Selected numbers in the range 5001–5999

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5001 to 5099

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5100 to 5199

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5200 to 5299

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5300 to 5399

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5400 to 5499

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  • 5402 – number of non-equivalent ways of expressing 1,000,000 as the sum of two prime numbers[14]
  • 5405 – member of a Ruth–Aaron pair with 5406 (either definition)
  • 5406 – member of a Ruth–Aaron pair with 5405 (either definition)
  • 5413 – prime of the form 2p-1
  • 5419 – Cuban prime of the form x = y + 1[6]
  • 5437 – prime of the form 2p-1
  • 5441 – Sophie Germain prime, super-prime
  • 5456tetrahedral number[15]
  • 5459 – highly cototient number[9]
  • 5460 – triangular number
  • 5461super-Poulet number,[16] centered heptagonal number[7]
  • 5476 = 742
  • 5483 – safe prime

5500 to 5599

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5600 to 5699

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  • 5623super-prime
  • 5625 = 752, centered octagonal number[2]
  • 5631 – number of compositions of 15 whose run-lengths are either weakly increasing or weakly decreasing[21]
  • 5639 – Sophie Germain prime, safe prime
  • 5651 – super-prime
  • 5659 – happy prime, completes the eleventh prime quadruplet set
  • 5662 – decagonal number[4]
  • 5671 – triangular number

5700 to 5799

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5800 to 5899

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  • 5801super-prime
  • 5807 – safe prime, balanced prime
  • 5832 = 183
  • 5842 – member of the Padovan sequence[29]
  • 5849 – Sophie Germain prime
  • 5869 – super-prime
  • 5879 – safe prime, highly cototient number[9]
  • 5886 – triangular number

5900 to 5999

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  • 5903 – Sophie Germain prime
  • 5913 – sum of the first seven factorials
  • 5927 – safe prime
  • 5929 = 772, centered octagonal number[2]
  • 5939 – safe prime
  • 5967 – decagonal number[4]
  • 5971 – first composite Wilson number
  • 5984 – tetrahedral number[15]
  • 5995 – triangular number

Prime numbers

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There are 114 prime numbers between 5000 and 6000:[30][31]

5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987

References

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  1. ^ "Sloane's A088054 : Factorial primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  2. ^ a b c d "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  3. ^ a b "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  4. ^ a b c d "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  5. ^ a b c d e "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  6. ^ a b "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  7. ^ a b c "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  8. ^ a b c "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  9. ^ a b c "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  10. ^ "Weights and measures". www.merriam-webster.com. Merriam-Webster. Retrieved 11 March 2021.
  11. ^ "My 14-Hour Search for the End of TGI Friday's Endless Appetizers". 18 July 2014.
  12. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  13. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  14. ^ Sloane, N. J. A. (ed.). "Sequence A065577 (Number of Goldbach partitions of 10^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-08-31.
  15. ^ a b "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  16. ^ "Sloane's A050217 : Super-Poulet numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  17. ^ "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  18. ^ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  19. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  20. ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  21. ^ Sloane, N. J. A. (ed.). "Sequence A332835 (Number of compositions of n whose run-lengths are either weakly increasing or weakly decreasing)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
  22. ^ "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  23. ^ "Sloane's A006972 : Lucas-Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  24. ^ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  25. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  26. ^ Sloane, N. J. A. (ed.). "Sequence A000060 (Number of signed trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  27. ^ "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  28. ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
  29. ^ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  30. ^ Sloane, N. J. A. (ed.). "Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  31. ^ Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved 6 February 2021.