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) unrepeated 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 = 712, centered octagonal number 5050 – triangular number, Kaprekar number, 5051 – Sophie Germain prime 5059 – super-prime 5076 – decagonal number 5081 – Sophie Germain prime 5087 – safe prime 5099 – safe prime
5100 to 5199 5107 – super-prime, balanced prime 5113 – balanced prime, 5117 – sum of the first 50 primes 5151 – triangular number 5167 – Leonardo prime, cuban prime of the form x = y + 1 5171 – Sophie Germain prime 5188 – centered heptagonal number 5189 – super-prime
5200 to 5299
5209 – largest minimal prime in base 6 5226 – nonagonal number 5231 – Sophie Germain prime 5244 = 222 + 232 + ... + 292 = 202 + 212 + ... + 282 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: 5281 – super-prime, twin prime with 5279 5282 - used in various paintings by Thomas Kinkade 5292 – Kaprekar number
5300 to 5399 5303 – Sophie Germain prime, balanced prime 5329 = 732, centered octagonal number 5333 – Sophie Germain prime 5335 – magic constant of n × n normal magic square and n-queens problem for n = 22. 5340 – octahedral number 5350 - sum of the first 51 primes 5356 – triangular number 5365 – decagonal number 5381 – super-prime 5387 – safe prime, balanced prime 5392 – Leyland number 5393 – balanced prime 5399 – Sophie Germain prime, safe prime
5400 to 5499 5405 – member of a Ruth–Aaron pair with 5406 (either definition) 5406 – member of a Ruth–Aaron pair with 5405 (either definition) 5419 – Cuban prime of the form x = y + 1 5441 – Sophie Germain prime, super-prime 5456 – tetrahedral number 5459 – highly cototient number 5460 – triangular number 5461 – super-Poulet number, centered heptagonal number 5483 – safe prime
5500 to 5599 5500 – nonagonal number 5501 – Sophie Germain prime, twin prime with 5503 5503 – super-prime, twin prime with 5501, cousin prime with 5507 5507 – safe prime, cousin prime with 5503 5525 – square pyramidal number 5527 – happy prime 5536 – tetranacci number 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 5589 - sum of the first 52 primes
5600 to 5699 5623 – super-prime 5625 = 752, centered octagonal number 5631 – number of compositions of 15 whose run-lengths are either weakly increasing or weakly decreasing 5639 – Sophie Germain prime, safe prime 5651 – super-prime 5659 – happy prime, completes the eleventh prime quadruplet set 5662 – decagonal number 5671 – triangular number
5700 to 5799 5701 – super-prime, 5711 – Sophie Germain prime 5719 – Lucas–Carmichael number 5741 – Sophie Germain prime, Pell prime, Markov prime, centered heptagonal number 5743 = number of signed trees with 9 nodes 5749 – super-prime 5768 – tribonacci number 5777 – smallest counterexample to the conjecture that all odd numbers are of the form p + 2a2 5778 – triangular number 5781 – nonagonal number 5798 – Motzkin number
5800 to 5899 5801 – super-prime 5807 – safe prime, balanced prime 5830 - sum of the first 53 primes 5842 – member of the Padovan sequence 5849 – Sophie Germain prime 5869 – super-prime 5879 – safe prime, highly cototient number 5886 – triangular number
5900 to 5999 5903 – Sophie Germain prime 5927 – safe prime 5929 = 772, centered octagonal number 5939 – safe prime 5967 – decagonal number 5971 – first composite Wilson number 5984 – tetrahedral number 5995 – triangular number
Prime numbers There are 114 prime numbers between 5000 and 6000: 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