Английская Википедия:4000 (number)
Материал из Онлайн справочника
Перейти к навигацииПерейти к поиску
Шаблон:Redirect Шаблон:Infobox number 4000 (four thousand) is the natural number following 3999 and preceding 4001. It is a decagonal number.[1]
Selected numbers in the range 4001–4999
4001 to 4099
- 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[2]
- 4019 – Sophie Germain prime
- 4027 – super-prime
- 4028 – sum of the first 45 primes
- 4030 – third weird number[3]
- 4031 – sum of the cubes of the first six primes
- 4032 – pronic number
- 4033 – sixth super-Poulet number;[4] strong pseudoprime in base 2[5]
- 4060 – tetrahedral number[6]
- 4073 – Sophie Germain prime
- 4079 – safe prime
- 4091 – super-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 and odd abundant number;[7] number of divisors in the sum of the fifth and largest known unitary perfect number, largest Ramanujan–Nagell number of the form <math>2^{n} - 1</math>.[8]
- 4096 = 642 = 163 = 84 = 46 = 212, the smallest number with exactly 13 divisors, a superperfect number[9]
4100 to 4199
- 4104 = 23 + 163 = 93 + 153
- 4127 – safe prime
- 4133 – super-prime
- 4139 – safe prime
- 4140 – Bell number[10]
- 4141 – centered square number[11]
- 4147 – smallest cyclic number in duodecimal represented in base-12 notation as 249712.
2×4147dez = 497212
3×4147dez = 724912
4×4147dez = 972412 - 4153 – super-prime
- 4160 – pronic number
- 4166 – centered heptagonal number,[12]
- 4167 = 7! − 6! − 5! − 4! − 3! − 2! − 1!, number of planar partitions of 14[13]
- 4169 – a number of points of norm n </= n in cubic lattice [14]Шаблон:Clarify
- 4177 – prime of the form 2p-1
- 4181 – Fibonacci number,[15] Markov number[16]
- 4186 – triangular number
- 4187 – factor of R13, also the record number of wickets taken in first-class cricket by Wilfred Rhodes.
- 4199 – highly cototient number,[17] product of three consecutive primes
4200 to 4299
- 4200 – nonagonal number,[18] pentagonal pyramidal number,[19]
- 4210 – 11th semi-meandric number[20]
- 4211 – Sophie Germain prime
- 4213 – Riordan number
- 4217 – super-prime, happy number
- 4219 – cuban prime of the form x = y + 1,[21] centered hexagonal number
- 4225 = 652, centered octagonal number[22]
- 4227 – sum of the first 46 primes
- 4240 – Leyland number[23]
- 4257 – decagonal number[1]
- 4259 – safe prime
- 4261 – prime of the form 2p-1
- 4271 – Sophie Germain prime
- 4273 – super-prime, number of non-isomorphic set-systems of weight 11
- 4278 – triangular number
- 4279 – little Schroeder number
- 4283 – safe prime
- 4289 – highly cototient number[17]
- 4290 – pronic number
4300 to 4399
- 4324 – 23rd square pyramidal number[24]
- 4325 – centered square number[11]
- 4339 – super-prime, twin prime
- 4349 – Sophie Germain prime
- 4356 = 662, sum of the cubes of the first eleven integers
- 4357 – prime of the form 2p-1
- 4359 – perfect totient number[25]
- 4369 – seventh super-Poulet number[4]
- 4371 – triangular number
- 4373 – Sophie Germain prime
- 4374 – The largest number such that both it and the next number (4375) are 7-smooth
- 4375 – perfect totient number (the smallest not divisible by 3)[25]
- 4391 – Sophie Germain prime
- 4397 – Year of Comet Hale–Bopp's return, super-prime
4400 to 4499
- 4400 – the number of missing persons in the sci-fi show The 4400
- 4409 – Sophie Germain prime, highly cototient number,[17] balanced prime,[2] 600th prime number
- 4410 – member of the Padovan sequence[26]
- 4411 – centered heptagonal number[12]
- 4421 – super-prime, alternating factorial[27]
- 4422 – pronic number
- 4425 = 15 + 25 + 35 + 45 + 55[28]
- 4438 – sum of the first 47 primes
- 4446 – nonagonal number[18]
- 4447 – cuban prime of the form x = y + 1[21]
- 4457 – balanced prime[2]
- 4463 – super-prime
- 4465 – triangular number
- 4481 – Sophie Germain prime
- 4489 = 672, centered octagonal number[22]
- 4495 – tetrahedral number[6]
4500 to 4599
- 4503 – largest number not the sum of four or fewer squares of composites
- 4505 – fifth Zeisel number[29]
- 4513 – centered square number
- 4516 – centered pentagonal number
- 4517 – super-prime, happy number
- 4522 – decagonal number[1]
- 4547 – safe prime
- 4549 – super-prime
- 4556 – pronic number
- 4560 – triangular number
- 4567 – super-prime
- 4579 – octahedral number[30]
- 4597 – balanced prime[2]
4600 to 4699
- 4607 – Woodall number[31]
- 4608 – 3-smooth number (29×32)
- 4619 – highly cototient number[17]
- 4621 – prime of the form 2p-1
- 4624 = 682
- 4641 – magic constant of n × n normal magic square and n-queens problem for n = 21.
- 4655 – number of free decominoes
- 4656 – triangular number
- 4657 – balanced prime[2]
- 4661 – sum of the first 48 primes
- 4663 – super-prime, centered heptagonal number[12]
- 4679 – safe prime
- 4681 – eighth super-Poulet number[4]
- 4688 – 2-automorphic number[32]
- 4689 – sum of divisors and number of divisors are both triangular numbers[33]
- 4691 – balanced prime[2]
- 4692 – pronic number
- 4699 – nonagonal number[18]
4700 to 4799
- 4703 – safe prime
- 4705 = 482 + 492 = 172 + 182 + ... + 262, centered square number
- 4727 – sum of the squares of the first twelve primes
- 4731 – centered pentagonal number
- 4733 – Sophie Germain prime
- 4753 – triangular number
- 4759 – super-prime
- 4761 = 692, centered octagonal number[22]
- 4769 = number of square (0,1)-matrices without zero rows and with exactly 5 entries equal to 1.[34]
- 4787 – safe prime, super-prime
- 4788 – 14th Keith number[35]
- 4793 – Sophie Germain prime
- 4795 – decagonal number[1]
- 4799 – safe prime
4800 to 4899
- 4801 – super-prime, cuban prime of the form x = y + 2,[36] smallest prime with a composite sum of digits in base 7
- 4830 – pronic number
- 4840 - square yards in an acre
- 4851 – triangular number, pentagonal pyramidal number[19]
- 4862 – Catalan number[37]
- 4871 – Sophie Germain prime
- 4877 – super-prime
- 4879 – 11th Kaprekar number[38]
- 4888 – sum of the first 49 primes
4900 to 4999
- 4900 = 702, the only square-pyramidal square other than 1 ([1])
- 4901 – centered square number
- 4913 = 173
- 4919 – Sophie Germain prime, safe prime
- 4922 – centered heptagonal number[12]
- 4933 – super-prime
- 4941 – centered cube number[39]
- 4943 – Sophie Germain prime, super-prime
- 4950 – triangular number, 12th Kaprekar number[38]
- 4951 – centered pentagonal number
- 4957 – sum of three and five consecutive primes (1637 + 1657 + 1663, 977 + 983 + 991 + 997 + 1009)
- 4959 – nonagonal number[18]
- 4960 – tetrahedral number;[6] greater of fourth pair of Smith brothers
- 4970 – pronic number
- 4973 – the 666th prime
- 4991 – Lucas–Carmichael number
- 4993 – balanced prime[2]
- 4999 – prime of the form <math>2n^2-1</math>[40]
Prime numbers
There are 119 prime numbers between 4000 and 5000:[41][42]
- 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999
References
- ↑ 1,0 1,1 1,2 1,3 Шаблон:Cite web
- ↑ 2,0 2,1 2,2 2,3 2,4 2,5 2,6 Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ 4,0 4,1 4,2 Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ 6,0 6,1 6,2 Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ 11,0 11,1 Шаблон:Cite web
- ↑ 12,0 12,1 12,2 12,3 Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ 17,0 17,1 17,2 17,3 Шаблон:Cite web
- ↑ 18,0 18,1 18,2 18,3 Шаблон:Cite web
- ↑ 19,0 19,1 Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ 21,0 21,1 Шаблон:Cite web
- ↑ 22,0 22,1 22,2 Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ 25,0 25,1 Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ 38,0 38,1 Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite OEIS
- ↑ Шаблон:Cite web