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4000 (number)
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・ 400s BC (disambiguation)
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4000 (number) : ウィキペディア英語版
4000 (number)

4000 (four thousand) is the natural number following 3999 and preceding 4001. It is a decagonal number.
== Selected numbers in the range 4001–4999 ==

* 4005 – triangular number
* 4007 – safe prime
* 4010 – magic constant of ''n''×''n'' normal magic square and ''n''-queens problem for ''n'' = 20.
* 4013 – balanced prime
* 4019 – Sophie Germain prime
* 4028 – sum of the first 45 primes
* 4030 – third weird number
* 4031 – sum of the cubes of the first six primes
* 4032 – pronic number
* 4033 – sixth super-Poulet number; strong pseudoprime in base 2
* 4060 – tetrahedral number
* 4073 – Sophie Germain prime
* 4079 – safe prime
* 4092 - an occasional glitch in the game The Legend of Zelda: Ocarina of Time causes the Gossip Stones to say this number
* 4095 – triangular number, odd abundant number, Mersenne number
* 4096 – power of two 2^; 64^2; 16th cube; smallest number with exactly 13 divisors; a superperfect number
* 41042^3 + 16^3 = 9^3 + 15^3 (taxicab number)
* 4127 – safe prime
* 4139 – safe prime
* 4140 – Bell number
* 4141 – centered square number
* 4147 – smallest cyclic number in duodecimal
* 4160 – pronic number
* 4166 – centered heptagonal number, 7! − 6! − 5! − 4! − 3! − 2! − 1! − 0!
* 4167 – 7! − 6! − 5! − 4! − 3! − 2! − 1!
* 4168 – 7! − 6! − 5! − 4! − 3! − 2!
* 4170 – 7! − 6! − 5! − 4! − 3!
* 4176 – 7! − 6! − 5! − 4!
* 4181 – Fibonacci number, Markov number
* 4186 – triangular number
* 4187 – factor of R13. Also record number of wickets taken in first-class cricket by Wilfred Rhodes.
* 4199 – highly cototient number, product of three consecutive primes
* 4200 – nonagonal number, pentagonal pyramidal number, 7! − 6! − 5!
* 4210 – 11th semi-meandric number
* 4211 – Sophie Germain prime
* 4219 – cuban prime of the form x = y + 1
* 4223 – Kynea number
* 4225 – 65^2, centered octagonal number
* 4227 – sum of the first 46 primes
* 4240 – Leyland number
* 4257 – decagonal number
* 4259 – safe prime
* 4271 – Sophie Germain prime
* 4278 – triangular number
* 4283 – safe prime
* 4289 – highly cototient number
* 4290 – pronic number
* 4320 – 7! − 6!
* 4324 – 23rd square pyramidal number
* 4325 – centered square number
* 4349 – Sophie Germain prime
* 4356 – 66^2, sum of the cubes of the first eleven integers
* 4359 – perfect totient number
* 4369 – seventh super-Poulet number
* 4371 – triangular number
* 4373 – Sophie Germain prime
* 4375 – perfect totient number (the smallest not divisible by 3)
* 4391 – Sophie Germain prime
* 4397 – Year of Comet Hale–Bopp's return, a prime number
* 4400 – the number of missing persons in the sci-fi show ''The 4400''
* 4409 – Sophie Germain prime, highly cototient number, balanced prime
* 4411 – centered heptagonal number
* 4421 – alternating factorial
* 4422 – pronic number
* 4438 – sum of the first 47 primes
* 4446 – nonagonal number
* 4447 – cuban prime of the form ''x'' = ''y'' + 1
* 4457 – balanced prime
* 4465 – triangular number
* 4481 – Sophie Germain prime
* 4489 – 67^2, centered octagonal number
* 4495 – tetrahedral number
* 4503 – largest number not the sum of four or fewer squares of composites
* 4505 – fifth Zeisel number
* 4513 – centered square number
* 4522 – decagonal number
* 4547 – safe prime
* 4556 – pronic number
* 4560 – triangular number
* 4579 – octahedral number
* 4597 – balanced prime
* 4607 – Woodall number
* 4619 – highly cototient number
* 4624 – 68^2
* 4641 – magic constant of ''n''×''n'' normal magic square and ''n''-queens problem for ''n'' = 21.
* 4656 – triangular number
* 4657 – balanced prime
* 4661 – sum of the first 48 primes
* 4663 – centered heptagonal number
* 4679 – safe prime
* 4681 – eighth super-Poulet number
* 4691 – balanced prime
* 4692 – pronic number
* 4699 – nonagonal number
* 4703 – safe prime
* 4705 – 48^2 + 49^2 = 17^2 + 18^2 + \cdots + 26^2, centered square number
* 4727 – sum of the squares of the first twelve primes
* 4733 – Sophie Germain prime
* 4753 – triangular number
* 4761 – 69^2, centered octagonal number
* 4787 – safe prime
* 4788 – 14th Keith number
* 4793 – Sophie Germain prime
* 4795 – decagonal number
* 4799 – safe prime
* 4801 – cuban prime of the form x = y + 2, smallest prime with a composite sum of digits in base 7
* 4830 – pronic number
* 4851 – triangular number, pentagonal pyramidal number
* 4862 – Catalan number
* 4871 – Sophie Germain prime
* 4879 – 11th Kaprekar number
* 4888 – sum of the first 49 primes
* 4900 – 70^2, the only square-pyramidal square other than 1()
* 4901 – centered square number
* 4913 – 17th cube
* 4919 – Sophie Germain prime, safe prime
* 4922 – centered heptagonal number
* 4941 – centered cube number
* 4943 – Sophie Germain prime
* 4950 – triangular number, 12th Kaprekar number
* 4959 – nonagonal number
* 4960 – tetrahedral number; greater of fourth pair of Smith brothers
* 4970 – pronic number
* 4991 – Lucas–Carmichael number
* 4993 – balanced prime

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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