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5000 (number)

From Wikipedia, the free encyclopedia
"5,000" redirects here. For other uses, see5000.
Natural number
← 49995000 5001 →
Cardinalfive thousand
Ordinal5000th
(five thousandth)
Factorization23 × 54
Greek numeral,Ε´
Roman numeralV,v
Unicode symbol(s)V,v, ↁ
Binary10011100010002
Ternary202120123
Senary350526
Octal116108
Duodecimal2A8812
Hexadecimal138816
ArmenianՐ

5000 (five thousand) is thenatural number following 4999 and preceding 5001. Five thousand is, at the same time, the largestisogrammic numeral, and the smallest number that contains every one of the fivevowels (a, e, i, o, u) in certain dialects of theEnglish language (i.e. those that do not include the word “and” when writing out 230, 250, 260, 602, and 640).

Look upfive thousand in Wiktionary, the free dictionary.

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 aRuth–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 formx =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 eleventhprime 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
  • 5830 - sum of the first 53 primes
  • 5832 = 183
  • 5842 – member of thePadovan 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 compositeWilson number
  • 5984 – tetrahedral number[15]
  • 5995 – triangular number

Prime numbers

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There are 114prime 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. Retrieved2016-06-13.
  2. ^abcd"Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  3. ^ab"Sloane's A006886 : Kaprekar numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  4. ^abcd"Sloane's A001107 : 10-gonal (or decagonal) numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  5. ^abcde"Sloane's A006562 : Balanced primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  6. ^ab"Sloane's A002407 : Cuban primes".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  7. ^abc"Sloane's A069099 : Centered heptagonal numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  8. ^abc"Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  9. ^abc"Sloane's A100827 : Highly cototient numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  10. ^"Weights and measures".www.merriam-webster.com.Merriam-Webster. Retrieved11 March 2021.
  11. ^Cullum, Paul (14 November 2008)."Thomas Kinkade's 16 Guidelines for Making Stuff Suck" – via Vanity Fair.
  12. ^"Sloane's A005900 : Octahedral numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  13. ^"Sloane's A076980 : Leyland numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  14. ^Sloane, N. J. A. (ed.)."Sequence A065577 (Number of Goldbach partitions of 10^n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2023-08-31.
  15. ^ab"Sloane's A000292 : Tetrahedral numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  16. ^"Sloane's A050217 : Super-Poulet numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  17. ^"Sloane's A000330 : Square pyramidal numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  18. ^"Sloane's A000078 : Tetranacci numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  19. ^"Sloane's A002411 : Pentagonal pyramidal numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  20. ^"Sloane's A082897 : Perfect totient numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  21. ^Sloane, N. J. A. (ed.)."Sequence A332835 (Number of compositions of n whose run-lengths are either weakly increasing or weakly decreasing)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-06-02.
  22. ^"Sloane's A051015 : Zeisel numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  23. ^"Sloane's A006972 : Lucas-Carmichael numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  24. ^"Sloane's A000129 : Pell numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  25. ^"Sloane's A002559 : Markoff (or Markov) numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  26. ^Sloane, N. J. A. (ed.)."Sequence A000060 (Number of signed trees with n nodes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  27. ^"Sloane's A000073 : Tribonacci numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  28. ^"Sloane's A001006 : Motzkin numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-13.
  29. ^"Sloane's A000931 : Padovan sequence".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-11.
  30. ^Sloane, N. J. A. (ed.)."Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)".TheOn-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. Retrieved6 February 2021.
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