4000 (number)


4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

Selected numbers in the range 4001–4999

4001 to 4099

2×4147dez = 497212
3×4147dez = 724912
4×4147dez = 972412
  • 4153 – super-prime
  • 4160 – pronic number
  • 4166 – centered heptagonal number
  • 4167 = 7! − 6! − 5! − 4! − 3! − 2! − 1!, number of planar partitions of 14
  • 4169 – a number of points of norm <= 10 in cubic lattice
  • 4177 – prime of the form 2p-1
  • 4181 – Fibonacci number, Markov number
  • 4186 – triangular number
  • 4187 – factor of R13, the record number of wickets taken in first-class cricket by Wilfred Rhodes
  • 4199 – highly cototient number, product of three consecutive primes

    4200 to 4299

  • 4200 – nonagonal number, pentagonal pyramidal number, largely composite number
  • 4210 – 11th semi-meandric number
  • 4211 – Sophie Germain prime
  • 4213 – Riordan number
  • 4217 – super-prime, happy number
  • 4219 – cuban prime of the form x = y + 1, centered hexagonal number
  • 4225 = 652, centered octagonal number
  • 4227 – sum of the first 46 primes
  • 4240 – Leyland number
  • 4257 – decagonal number
  • 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
  • 4290 – pronic number

    4300 to 4399

  • 4320 – largely composite number
  • 4324 – 23rd square pyramidal number
  • 4325 – centered square number
  • 4339 – super-prime, twin prime
  • 4349 – Sophie Germain prime
  • 4351 – Normalized total height of all rooted trees on 6 labeled nodes
  • 4356 = 662, sum of the cubes of the first eleven integers
  • 4357 – prime of the form 2p-1
  • 4359 – perfect totient number
  • 4369 – seventh super-Poulet number
  • 4371 – triangular number
  • 4373 – Sophie Germain prime
  • 4374 – The largest number such that both it and the next number are 7-smooth
  • 4375 – perfect totient number
  • 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, balanced prime, 600th prime number
  • 4410 – member of the Padovan sequence
  • 4411 – centered heptagonal number
  • 4421 – super-prime, alternating factorial
  • 4422 – pronic number
  • 4425 = 15 + 25 + 35 + 45 + 55
  • 4438 – sum of the first 47 primes
  • 4444 - repdigit
  • 4446 – nonagonal number
  • 4447 – cuban prime of the form x = y + 1
  • 4457 – balanced prime
  • 4463 – super-prime
  • 4465 – triangular number
  • 4481 – Sophie Germain prime
  • 4489 = 672, centered octagonal number
  • 4495 – tetrahedral number

    4500 to 4599

  • 4503 – largest number not the sum of four or fewer squares of composites
  • 4505 – fifth Zeisel number
  • 4513 – centered square number
  • 4516 – centered pentagonal number
  • 4517 – super-prime, happy number
  • 4522 – decagonal number
  • 4547 – safe prime
  • 4549 – super-prime
  • 4556 – pronic number
  • 4560 – triangular number
  • 4567 – super-prime
  • 4579 – octahedral number
  • 4597 – balanced prime

    4600 to 4699

  • 4604 – sum of the only two known Wieferich primes, 1093 and 3511
  • 4607 – Woodall number
  • 4608 – 3-smooth number
  • 4619 – highly cototient number
  • 4620 – largely composite number
  • 4621 – prime of the form 2p-1
  • 4624 = 682, 173 – 172
  • 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
  • 4661 – sum of the first 48 primes
  • 4663 – super-prime, centered heptagonal number
  • 4679 – safe prime
  • 4680 – largely composite number
  • 4681 – eighth super-Poulet number
  • 4688 – 2-automorphic number
  • 4689 – sum of divisors and number of divisors are both triangular numbers
  • 4691 – balanced prime
  • 4692 – pronic number
  • 4699 – nonagonal number

    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
  • 4769 = number of square -matrices without zero rows and with exactly 5 entries equal to 1
  • 4787 – safe prime, super-prime
  • 4788 – 14th Keith number
  • 4793 – Sophie Germain prime
  • 4795 – decagonal number
  • 4799 – safe prime

    4800 to 4899

  • 4801 – super-prime, cuban prime of the form x = y + 2, 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
  • 4862 – Catalan number
  • 4871 – Sophie Germain prime
  • 4877 – super-prime
  • 4879 – 11th Kaprekar number
  • 4888 – sum of the first 49 primes

    4900 to 4999

  • 4900 = 702, the only square-pyramidal square other than 1
  • 4901 – centered square number
  • 4913 = 173
  • 4919 – Sophie Germain prime, safe prime
  • 4922 – centered heptagonal number
  • 4933 – super-prime
  • 4941 – centered cube number
  • 4943 – Sophie Germain prime, super-prime
  • 4950 – triangular number, 12th Kaprekar number
  • 4951 – centered pentagonal number
  • 4957 – sum of three and five consecutive primes
  • 4959 – nonagonal number
  • 4960 – tetrahedral number; greater of fourth pair of Smith brothers
  • 4970 – pronic number
  • 4973 – the 666th prime
  • 4991 – Lucas–Carmichael number
  • 4993 – balanced prime
  • 4999 – prime of the form

    Prime numbers

There are 119 prime numbers between 4000 and 5000: