Английская Википедия:5000 (number)

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

Шаблон:Wiktionary

Selected numbers in the range 5001–5999

5001 to 5099

5100 to 5199

5200 to 5299

<math>

5280 = -\sqrt[3]{j\left( {\scriptstyle\frac{1}{2}} \left( 1 + i\sqrt{67}\, \right)\right) }. </math>

5300 to 5399

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)
  • 5419 – Cuban prime of the form x = y + 1[6]
  • 5441 – Sophie Germain prime, super-prime
  • 5456tetrahedral number[15]
  • 5459 – highly cototient number[9]
  • 5460 – triangular number
  • 5461super-Poulet number,[16] centered heptagonal number[7]
  • 5476 = 742
  • 5483 – safe prime

5500 to 5599

5600 to 5699

  • 5623super-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

5700 to 5799

5800 to 5899

  • 5801super-prime
  • 5807 – safe prime, balanced prime
  • 5832 = 183
  • 5842 – member of the Padovan sequence[28]
  • 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]
  • 5984 – tetrahedral number[15]
  • 5995 – triangular number

Prime numbers

There are 114 prime numbers between 5000 and 6000:[29][30]

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

Шаблон:Reflist

Шаблон:Integers