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 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, tetrahedral number 7141 – sum of the first 58 primes, star number 7151 – Sophie Germain prime 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 7310 – pronic number 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
7400 to 7499 7417 – super-prime 7418 – sum of the first 59 primes 7433 – Sophie Germain prime 7471 – centered cube number 7481 – super-prime, cousin prime 7482 – pronic number
7500 to 7599 7503 – triangular number 7523 – balanced prime, safe prime, super-prime 7541 – Sophie Germain prime 7559 – safe prime 7560 – the 20th highly composite number 7561 – Markov prime, star 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 7656 – pronic number 7691 – Sophie Germain prime 7699 – super-prime, emirp, sum of the 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 7727 – safe prime 7739 – member of the Padovan sequence 7741 = number of trees with 15 unlabeled nodes 7744 = 882, square palindrome not ending in 0 7750 – triangular number 7753 – super-prime 7770 – tetrahedral number 7777 – Kaprekar number, repdigit
7800 to 7899 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. 7832 – pronic number 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 – 1000th 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 7982 – sum of the first 61 primes 7993 – star prime, reverse superstar prime
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