From Wikipedia, the free encyclopedia
Natural 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
4100 to 4199
4200 to 4299
4300 to 4399
4400 to 4499
4500 to 4599
4600 to 4699
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
4900 to 4999
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
- ^
a
b
c
d
"Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
- ^
a
b
c
d
e
f
g
Sloane, N. J. A. (ed.).
"Sequence A006562 (Balanced primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A006037 (Weird numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A050217 (Super-Poulet numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A001262 (Strong pseudoprimes to base 2)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A000292 (Tetrahedral numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A005231 (Odd abundant numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A076046 (Ramanujan-Nagell numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A019279 (Superperfect numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000110 (Bell or exponential numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
Sloane, N. J. A. (ed.).
"Sequence A001844 (Centered square numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A069099 (Centered heptagonal numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000219 (Number of planar partitions (or plane partitions) of n)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000605 (Number of points of norm <= n in cubic lattice)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000045 (Fibonacci numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A002559 (Markoff (or Markov) numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A100827 (Highly cototient numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
c
d
Sloane, N. J. A. (ed.).
"Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002411 (Pentagonal pyramidal numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000682 (Semimeanders)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
Sloane, N. J. A. (ed.).
"Sequence A002407 (Cuban primes)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
c
Sloane, N. J. A. (ed.).
"Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A076980 (Leyland numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A000330 (Square pyramidal numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^
a
b
"Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
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^
Sloane, N. J. A. (ed.).
"Sequence A000931 (Padovan sequence)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A005165 (Alternating factorials)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A031971 (a(n) = Sum_{k=1..n} k^n)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
"Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
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^
"Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
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"Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
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Sloane, N. J. A. (ed.).
"Sequence A030984 (2-automorphic numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-09-01.
-
^
Sloane, N. J. A. (ed.).
"Sequence A070996 (Numbers n whose sum of divisors and number of divisors are both triangular numbers)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A122400 (Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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^
"Sloane's A007629 : Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
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^
"A variant of the cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
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^
"Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
- ^
a
b
"Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
-
^
"Sloane's A005898 : Centered cube numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
-
^
Sloane, N. J. A. (ed.).
"Sequence A066436 (Primes of the form 2*n^2 - 1)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Sloane, N. J. A. (ed.).
"Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". The
On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
-
^
Stein, William A. (10 February 2017).
"The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved 6 February 2021.
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100,000
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1,000,000
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10,000,000
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100,000,000
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1,000,000,000
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