7000 (seven thousand) is the natural number following 6999 and preceding 7001.

Selected numbers in the range 7001–7999

7001 to 7099

* 7021 – triangular number * 7043 – Sophie Germain prime * 7056 = 84² * 7057 – cuban prime of the form ''x'' = ''y'' + 1,

super-prime Super-prime numbers, also known as higher-order primes or prime-indexed primes (PIPs), are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. The subsequence begins :3, 5, 11, 17, 31, ...

* 7073 – Leyland number * 7079 – Sophie Germain prime, safe prime

7100 to 7199

* 7103 – Sophie Germain prime, sexy prime with 7109 * 7106 – octahedral number * 7109 –

, sexy prime with 7103 * 7121 – Sophie Germain prime * 7140 – triangular number, also a pronic number and hence = 3570 is also a triangular number, tetrahedral number * 7151 – Sophie Germain prime * 7187 – safe prime * 7192 –

weird number In number theory, a weird number is a natural number that is abundant but not semiperfect. In other words, the sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of those diviso ...

* 7193 – Sophie Germain prime,

7200 to 7299

* 7200 – pentagonal pyramidal number * 7211 – Sophie Germain prime * 7225 = 85², centered octagonal number * 7230 = 36² + 37² + 38² + 39² + 40² = 41² + 42² + 43² + 44² * 7246 – centered heptagonal number * 7247 – safe prime * 7260 – triangular number * 7267 – decagonal number * 7272 – Kaprekar number * 7283 –

* 7291 – nonagonal number

7300 to 7399

* 7338 – Fine number. * 7349 – Sophie Germain prime * 7351 –

, cuban prime of the form ''x'' = ''y'' + 1 * 7381 – triangular number * 7385 – Keith number * 7396 = 86²

7400 to 7499

* 7417 –

* 7433 – Sophie Germain prime * 7471 – centered cube number * 7481 – super-prime, cousin prime

7500 to 7599

* 7503 – triangular number * 7523 –

balanced prime In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, given a prime number p_n, where is it ...

, safe prime,

* 7537 – prime of the form 2p-1 * 7541 – Sophie Germain prime * 7559 – safe prime * 7560 –

highly composite number __FORCETOC__ A highly composite number is a positive integer with more divisors than any smaller positive integer has. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller ...

* 7561 –

Markov prime A Markov number or Markoff number is a positive integer ''x'', ''y'' or ''z'' that is part of a solution to the Markov Diophantine equation :x^2 + y^2 + z^2 = 3xyz,\, studied by . The first few Markov numbers are : 1, 2, 5, 13, 29, 34, 89 ...

* 7568 – centered heptagonal number * 7569 = 87², centered octagonal number * 7583 – balanced prime

7600 to 7699

* 7607 – safe prime,

* 7612 – decagonal number * 7614 – nonagonal number * 7626 – triangular number * 7643 – Sophie Germain prime, safe prime * 7647 – Keith number * 7649 – Sophie Germain prime,

* 7691 – Sophie Germain prime * 7699 –

, emirp, sum of first 60 primes, first prime above 281 to be the sum of the first k primes for some k

7700 to 7799

* 7703 – safe prime * 7714 –

square pyramidal number In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the number of stacked spheres in a pyramid with a square base. The study of these numbers goes back to Archimedes and Fibonacci. They are part of a broa ...

* 7727 – safe prime * 7739 – member of the

Padovan sequence In number theory, the Padovan sequence is the sequence of integers ''P''(''n'') defined. by the initial values :P(0)=P(1)=P(2)=1, and the recurrence relation :P(n)=P(n-2)+P(n-3). The first few values of ''P''(''n'') are :1, 1, 1, 2, 2, 3, 4, 5 ...

* 7744 = 88², square palindrome not ending in 0 * 7750 – triangular number * 7753 –

* 7770 – tetrahedral number * 7776 = 6⁵ * 7777 – Kaprekar number

7800 to 7899

* 7810 – ISO/IEC 7810 is the ISO's standard for physical characteristics of identification cards * 7823 – Sophie Germain prime, safe prime, balanced prime * 7825 –

magic constant The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. For a normal magic square of order ''n'' – that is ...

of ''n'' × ''n'' normal

magic square In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The 'order' of the magic square is the number ...

and

n-Queens Problem The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions. ...

for ''n'' = 25. Also the first counterexample in the Boolean Pythagorean triples problem. * 7841 – Sophie Germain prime, balanced prime,

* 7875 – triangular number * 7883 – Sophie Germain prime, super-prime * 7897 – centered heptagonal number

7900 to 7999

* 7901 – Sophie Germain prime * 7909 – Keith number * 7912 – weird number * 7919 – thousandth prime number * 7920 – the order of the Mathieu group M₁₁, the smallest

sporadic simple group In mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups. A simple group is a group ''G'' that does not have any normal subgroups except for the trivial group and ''G'' itself. The ...

* 7921 = 89², centered octagonal number * 7944 – nonagonal number * 7957 – super-Poulet number * 7965 – decagonal number * 7979 –

highly cototient number In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above 1 and has more solutions to the equation :x - \phi(x) = k than any other integer below k and above 1. Here, \phi is Euler's totient fun ...

Prime numbers

There are 107 prime numbers between 7000 and 8000: :7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993

References

{{Integers, 10 Integers