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 every one of the five vowels (a, e, i, o, u) in certain dialects of the English language (i.e. those that do not include the word “and” when writing out 230, 250, 260, 602, and 640).

Selected numbers in the range 5001–5999

5001 to 5099

  • 5003 – Sophie Germain prime
  • 5020 – amicable number with 5564
  • 5021 – super-prime, twin prime with 5023
  • 5023 – twin prime with 5021
  • 5039 – factorial prime, Sophie Germain prime
  • 5040 = 7!, superior highly composite number
  • 5041 = 71<sup>2</sup>, centered octagonal number
  • 5050 – triangular number, Kaprekar number, sum of first 100 integers
  • 5051 – Sophie Germain prime
  • 5059 – super-prime
  • 5076 – decagonal number
  • 5077 – prime of the form 2p-1
  • 5081 – Sophie Germain prime
  • 5087 – safe prime
  • 5099 – safe prime

5100 to 5199

  • 5101 – prime of the form 2p-1
  • 5107 – super-prime, balanced prime
  • 5113 – balanced prime,
  • 5171 – Sophie Germain prime
  • 5184 = 72<sup>2</sup>
  • 5186 – φ(5186) = 2592
  • 5187 – φ(5187) = 2592
  • 5188 – φ(5189) = 2592, centered heptagonal number
  • 5189 – super-prime

5200 to 5299

  • 5209 – largest minimal prime in base 6
  • 5226 – nonagonal number
  • 5231 – Sophie Germain prime
  • 5233 – prime of the form 2p-1
  • 5244 = 22<sup>2</sup> + 23<sup>2</sup> + ... + 29<sup>2</sup> = 20<sup>2</sup> + 21<sup>2</sup> + ... + 28<sup>2</sup>
  • 5249 – highly cototient number
  • 5253 – triangular number
  • 5279 – Sophie Germain prime, twin prime with 5281, 700th prime number
  • 5280 is
  • the number of feet in a mile. It is divisible by three, yielding 1760 yards per mile and by 16.5, yielding 320 rods per mile.
  • a number connected with both Klein's J-invariant and the Heegner numbers. Specifically: <math> 5280 = -\sqrt[3]{j\left( {\scriptstyle\frac{1}{2 \left( 1 + i\sqrt{67}\, \right)\right) }.

</math>

  • 5281 – super-prime, twin prime with 5279
  • 5282 - used in various paintings by Thomas Kinkade
  • 5292 – Kaprekar number
  • 5350 - sum of the first 51 primes
  • 5356 – triangular number
  • 5365 – decagonal number
  • 5393 – balanced prime
  • 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
  • 5459 – highly cototient number centered heptagonal number
  • 5527 – happy prime
  • 5536 – tetranacci number
  • 5555 – repdigit
  • 5557 – super-prime
  • 5563 – balanced prime
  • 5564 – amicable number with 5020
  • 5565 – triangular number
  • 5566 – pentagonal pyramidal number
  • 5569 – happy prime
  • 5571 – perfect totient number
  • 5581 – prime of the form 2p-1
  • 5589 - sum of the first 52 primes

5600 to 5699

  • 5623 – super-prime
  • 5625 = 75<sup>2</sup>, centered octagonal number
  • 5639 – Sophie Germain prime, safe prime
  • 5651 – super-prime
  • 5659 – happy prime, completes the eleventh prime quadruplet set
  • 5662 – decagonal number Lucas–Carmichael number
  • 5741 – Sophie Germain prime, Pell prime, Markov prime, centered heptagonal number
  • 5749 – super-prime
  • 5768 – tribonacci number
  • 5776 = 76<sup>2</sup>
  • 5777 – smallest counterexample to the conjecture that all odd numbers are of the form p&nbsp;+&nbsp;2a<sup>2</sup>
  • 5778 – triangular number
  • 5781 – nonagonal number

5800 to 5899

  • 5801 – super-prime
  • 5807 – safe prime, balanced prime
  • 5830 - sum of the first 53 primes
  • 5832 = 18<sup>3</sup>
  • 5842 – member of the Padovan sequence
  • 5849 – Sophie Germain prime
  • 5869 – super-prime
  • 5879 – safe prime, highly cototient number

: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