"5,000" redirects here. For other uses, see
5000.
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 everyone of the five vowels (a, e, i, o, u) in the English language.
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5200 to 5299
![{\displaystyle 5280=-{\sqrt[{3}]{j\left({\scriptstyle {\frac {1}{2}}}\left(1+i{\sqrt {67}}\,\right)\right)}}.}](//wikimedia.org/api/rest_v1/media/math/render/svg/f4976a848b63f05465320eb4ff0a2434666cd3cc)
5400 to 5499
- 5402 – number of non-equivalent ways of expressing 1,000,000 as the sum of two prime numbers[14]
- 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[6]
- 5437 – prime of the form 2p-1
- 5441 – Sophie Germain prime, super-prime
- 5456 – tetrahedral number[15]
- 5459 – highly cototient number[9]
- 5460 – triangular number
- 5461 – super-Poulet number,[16] centered heptagonal number[7]
- 5476 = 742
- 5483 – safe prime
5600 to 5699
- 5623 – super-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 eleventh prime quadruplet set
- 5662 – decagonal number[4]
- 5671 – triangular number
5800 to 5899
- 5801 – super-prime
- 5807 – safe prime, balanced prime
- 5832 = 183
- 5842 – member of the Padovan sequence[29]
- 5849 – Sophie Germain prime
- 5869 – super-prime
- 5879 – safe prime, highly cototient number[9]
- 5886 – triangular number
5900 to 5999
- 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 composite Wilson number
- 5984 – tetrahedral number[15]
- 5995 – triangular number
Prime numbers
There are 114 prime 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