5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic numeral in the English language.

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, sum of first 100 integers

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

5184 = 722

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

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. Also, 5280 is connected with both Klein's J-invariant and the Heegner numbers. Specifically:

5000 (number)

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 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

5000 (number)

5400 to 5499

5402 – number of non-equivalent ways of expressing 1,000,000 as the sum of two prime numbers 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 5476 = 742 5483 – safe prime

5000 (number)

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

5581 – prime of the form 2p-1

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 – Zeisel number, Lucas–Carmichael number

5741 – Sophie Germain prime, Pell prime, Markov prime, centered heptagonal number 5749 – super-prime 5768 – tribonacci number 5776 = 762 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