5000 (number)

5000 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 in certain dialects of the English language.

Selected numbers in the range 5001–5999

5001 to 5099

5003 – Sophie Germain prime5020 – amicable number with 55645021 – super-prime, twin prime with 50235023 – twin prime with 50215039 – factorial prime, Sophie Germain prime5040 = 7!, superior highly composite number5041 = 71², centered octagonal number5050 – triangular number, Kaprekar number, sum of first 100 integers5051 – Sophie Germain prime5059 – super-prime5076 – decagonal number5077 – prime of the form 2p-15081 – Sophie Germain prime5087 – safe prime5099 – safe prime

5100 to 5199

5101 – prime of the form 2p-15107 – super-prime, balanced prime5113 – balanced prime, prime of the form 2p-15117 – sum of the first 50 primes5151 – triangular number5167 – Leonardo prime, cuban prime of the form x = y + 15171 – Sophie Germain prime5184 = 72²5186 – φ = 25925187 – φ = 25925188 – φ = 2592, centered heptagonal number5189 – super-prime

5200 to 5299

5209 – largest minimal prime in base 65226 – nonagonal number5231 – Sophie Germain prime5233 – prime of the form 2p-15244 = 22² + 23² +... + 29² = 20² + 21² +... + 28²5249 – highly cototient number5253 – triangular number5279 – Sophie Germain prime, twin prime with 5281, 700th prime number5280 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 52795282 - used in various paintings by Thomas Kinkade5292 – Kaprekar number

5300 to 5399

5303 – Sophie Germain prime, balanced prime5329 = 73², centered octagonal number5333 – Sophie Germain prime5335 – magic constant of n × n normal magic square and n-queens problem for n = 22.5340 – octahedral number5350 - sum of the first 51 primes5356 – triangular number5365 – decagonal number5381 – super-prime5387 – safe prime, balanced prime5392 – Leyland number5393 – balanced prime5399 – Sophie Germain prime, safe prime

5400 to 5499

5402 – number of non-equivalent ways of expressing 1,000,000 as the sum of two prime numbers5405 – member of a Ruth–Aaron pair with 5406 5406 – member of a Ruth–Aaron pair with 5405 5413 – prime of the form 2p-15419 – Cuban prime of the form x = y + 15437 – prime of the form 2p-15441 – Sophie Germain prime, super-prime5456 – tetrahedral number5459 – highly cototient number5460 – triangular number5461 – super-Poulet number, centered heptagonal number5476 = 74²5483 – safe prime

5500 to 5599

5500 – nonagonal number5501 – Sophie Germain prime, twin prime with 55035503 – super-prime, twin prime with 5501, cousin prime with 55075507 – safe prime, cousin prime with 55035508 = 18³ – 18²5525 – square pyramidal number5527 – happy prime5536 – tetranacci number5555 – repdigit5557 – super-prime5563 – balanced prime5564 – amicable number with 50205565 – triangular number5566 – pentagonal pyramidal number5569 – happy prime5571 – perfect totient number5581 – prime of the form 2p-15589 - sum of the first 52 primes

5600 to 5699

5623 – super-prime5625 = 75², centered octagonal number5631 – number of compositions of 15 whose run-lengths are either weakly increasing or weakly decreasing5639 – Sophie Germain prime, safe prime5651 – super-prime5659 – happy prime, completes the eleventh prime quadruplet set5662 – decagonal number5671 – triangular number

5700 to 5799

5701 – super-prime, prime of the form 2p-15711 – Sophie Germain prime5719 – Zeisel number, Lucas–Carmichael number5741 – Sophie Germain prime, Pell prime, Markov prime, centered heptagonal number5743 = number of signed trees with 9 nodes5749 – super-prime5768 – tribonacci number5776 = 76²5777 – smallest counterexample to the conjecture that all odd numbers are of the form p + 2a²5778 – triangular number5781 – nonagonal number5798 – Motzkin number

5800 to 5899

5801 – super-prime5807 – safe prime, balanced prime5830 - sum of the first 53 primes5832 = 18³5842 – member of the Padovan sequence5849 – Sophie Germain prime5869 – super-prime5879 – safe prime, highly cototient number5886 – triangular number

5900 to 5999

5903 – Sophie Germain prime 5913 – sum of the first seven factorials5927 – safe prime5929 = 77², centered octagonal number5939 – safe prime5967 – decagonal number5971 – first composite Wilson number5984 – tetrahedral number5995 – triangular number

Prime numbers

There are 114 prime numbers between 5000 and 6000: