7000 (number)

7000 (number)
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
7073 – Leyland number
7079 – Sophie Germain prime, safe prime
7100 to 7199
7103 – Sophie Germain prime, sexy prime with 7109
7106 – octahedral number
7109 – super-prime, 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
7155 – number of 19-bead necklaces (turning over is allowed) where complements are equivalent
7187 – safe prime
7192 – weird number
7193 – Sophie Germain prime, super-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 – super-prime
7291 – nonagonal number
7300 to 7399
7316 – number of 18-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
7338 – Fine number.
7349 – Sophie Germain prime
7351 – super-prime, cuban prime of the form x = y + 1
7381 – triangular number
7385 – Keith number
7396 = 862
7400 to 7499
7417 – super-prime
7433 – Sophie Germain prime
7471 – centered cube number
7481 – super-prime, cousin prime
7500 to 7599
7503 – triangular number
7523 – balanced prime, safe prime, super-prime
7537 – prime of the form 2p-1
7541 – Sophie Germain prime
7559 – safe prime
7560 – highly composite number
7561 – Markov prime
7568 – centered heptagonal number
7569 = 872, centered octagonal number
7583 – balanced prime
7600 to 7699
7607 – safe prime, super-prime
7612 – decagonal number
7614 – nonagonal number
7626 – triangular number
7643 – Sophie Germain prime, safe prime
7647 – Keith number
7649 – Sophie Germain prime, super-prime
7691 – Sophie Germain prime
7699 – super-prime, 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
7710 = number of primitive polynomials of degree 17 over GF(2)
7714 – square pyramidal number
7727 – safe prime
7739 – member of the Padovan sequence
7744 = 882, square palindrome not ending in 0
7750 – triangular number
7753 – super-prime
7770 – tetrahedral number
7776 = 65, number of primitive polynomials of degree 18 over GF(2)
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 of n × n normal magic square and n-Queens Problem for n = 25. Also the first counterexample in the Boolean Pythagorean triples problem.
7841 – Sophie Germain prime, balanced prime, super-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
7921 = 892, centered octagonal number
7944 – nonagonal number
7957 – super-Poulet number
7965 – decagonal number
7979 – highly cototient number
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