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5000 (number)
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5000 (number) : ウィキペディア英語版
5000 (number)

5000 (five thousand) is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.
==Selected numbers in the range 5001–5999==

* 5003 – Sophie Germain prime
* 5020 – amicable number with 5564
* 5039 – factorial prime, Sophie Germain prime
* 5040 – 7!, superior highly composite number
* 5041 – 71^2, centered octagonal number
* 5050 – triangular number, Kaprekar number, sum of first 100 integers
* 5051 – Sophie Germain prime
* 5076 – decagonal number
* 5081 – Sophie Germain prime
* 5087 – safe prime
* 5099 – safe prime
* 5107 – balanced prime
* 5113 – balanced prime
* 5151 – triangular number
* 5167 – cuban prime of the form ''x'' = ''y'' + 1
* 5171 – Sophie Germain prime
* 5184 – 72^2
* 5186 – φ(5186) = 2592
* 5187 – φ(5187) = 2592
* 5188 – φ(5189) = 2592, centered heptagonal number
* 5226 – nonagonal number
* 5231 – Sophie Germain prime
* 5244 – 22^2 + 23^2 + \cdots + 29^2 = 20^2 + 21^2 + \cdots + 28^2
* 5249 – highly cototient number
* 5253 – triangular number
* 5279 – Sophie Germain prime
* 5280 is the number of feet in a mile. It is evenly divisible by three, yielding exactly 1760 yards per mile and by 16.5, yielding exactly 320 rods per mile.
* 5280 is connected with both Klein's J-invariant and the Heegner numbers. Specifically
:
5280 = -\sqrt()} \left( 1 + i\sqrt\, \right)\right) }.

* 5292 – Kaprekar number
* 5303 – Sophie Germain prime, balanced prime
* 5329 – 73^2, 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
* 5387 – safe prime, balanced prime
* 5392 – Leyland number
* 5393 – balanced prime
* 5399 – Sophie Germain prime, safe prime
* 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
* 5456 – tetrahedral number
* 5459 – highly cototient number
* 5460 – triangular number
* 5461 – super-Poulet number, centered heptagonal number
* 5476 – 74^2
* 5483 – safe prime
* 5500 – nonagonal number
* 5501 – Sophie Germain prime
* 5507 – safe prime
* 5525 – square pyramidal number
* 5536 – tetranacci number
* 5563 – balanced prime
* 5564 – amicable number with 5020
* 5565 – triangular number
* 5566 – pentagonal pyramidal number
* 5571 – perfect totient number
* 5625 – 75^2, centered octagonal number
* 5639 – Sophie Germain prime, safe prime
* 5662 – decagonal number
* 5671 – triangular number
* 5711 – Sophie Germain prime
* 5719 – Zeisel number, Lucas–Carmichael number
* 5741 – Sophie Germain prime, Pell number, Markov number, centered heptagonal number
* 5768 – tribonacci number
* 5776 – 76^2
* 5777 – smallest counterexample to the conjecture that all odd numbers are of the form p + 2a^2
* 5778 – triangular number
* 5781 – nonagonal number
* 5798 – Motzkin number
* 5807 – safe prime, balanced prime
* 5832 – 183
* 5849 – Sophie Germain prime
* 5879 – safe prime, highly cototient number
* 5886 – triangular number
* 5903 – Sophie Germain prime
* 5910 - largest number whose factorial less than 265536
* 5913 – sum of the first seven factorials
* 5927 – safe prime
* 5929 – 77^2, centered octagonal number
* 5939 – safe prime
* 5967 – decagonal number
* 5984 – tetrahedral number
* 5995 – triangular number

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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