8000 (eight thousand) is the natural number following 7999 and preceding 8001.
8000 is the cube of 20, as well as the sum of four consecutive integers cubed, 113 + 123 + 133 + 143.
The fourteen tallest mountains on Earth, which exceed 8000 meters in height, are sometimes referred to as eight-thousanders.
Selected numbers in the range 8001–8999 8001 to 8099 8001 – triangular number 8011 – super-prime 8039 – safe prime, only known generalized Wieferich prime base 39 8059 – super-prime 8069 – Sophie Germain prime 8093 – Sophie Germain prime
8100 to 8199 8101 – super-prime 8111 – Sophie Germain prime 8117 – super-prime, balanced prime 8119 – octahedral number; 8119/5741 ≈ √2 8125 – pentagonal pyramidal number 8128 – perfect number, harmonic divisor number, 127th triangular number, 64th hexagonal number, eighth 292-gonal number, fourth 1356-gonal number 8147 – safe prime 8189 – highly cototient number 8190 – harmonic divisor number 8191 – Mersenne prime 8192 = 213
8200 to 8299 8208 – base 10 narcissistic number as 84 + 24 + 04 + 84 = 8208 8219 – twin prime with 8221 8221 – super-prime, twin prime with 8219 8233 – super-prime, centered heptagonal number 8243 – Sophie Germain prime 8256 – triangular number 8257 – sum of the squares of the first fourteen primes 8269 – cuban prime of the form x = y + 1 8273 – Sophie Germain prime 8281 = 912, sum of the cubes of the first thirteen integers, nonagonal number, centered octagonal number 8287 – super-prime
8300 to 8399 8321 – super-Poulet number 8326 – decagonal number 8345 – smallest pandigital number in base 6 8361 – Leyland number 8377 – super-prime 8385 – triangular number 8389 – super-prime, twin prime
8400 to 8499 8423 – safe prime 8436 – tetrahedral number 8437 – star number
8500 to 8599 8513 – Sophie Germain prime, super-prime 8515 – triangular number 8521 – sexy prime with 8527 8527 – super-prime, sexy prime with 8521 8543 – safe prime 8555 – square pyramidal number 8558 – Large Schröder number 8576 – centered heptagonal number 8581 – super-prime
8600 to 8699 8625 – nonagonal number 8646 – triangular number 8649 = 932, centered octagonal number 8663 – Sophie Germain prime 8693 – Sophie Germain prime 8695 – decagonal number 8699 – safe prime
8700 to 8799 8712 – smallest number that is divisible by its reverse: 8712 = 4 × 2178 (excluding palindromes and numbers with trailing zeros) 8713 – balanced prime 8719 – super-prime 8741 – Sophie Germain prime 8747 – safe prime, balanced prime, super-prime 8751 – perfect totient number 8760 - number of hours in a common year. 8761 – super-prime 8778 – triangular number 8783 – safe prime
8800 to 8899 8801 – magic constant of n × n normal magic square and n-Queens Problem for n = 26. 8807 – super-prime, sum of eleven consecutive primes (761 + 769 + 773 + 787 + 797 + 809 + 811 + 821 + 823 + 827 + 829) 8819 – safe prime 8849 – super-prime 8855 – member of a Ruth-Aaron pair (first definition) with 8856 8856 – member of a Ruth-Aaron pair (first definition) with 8855 8893 – star prime
8900 to 8999 8911 – Carmichael number, triangular number 8923 – super-prime 8926 – centered heptagonal number 8951 – Sophie Germain prime 8963 – safe Prime prime 8969 – Sophie Germain prime 8976 – enneagonal number 8999 – super-prime
Prime numbers There are 110 prime numbers between 8000 and 9000: 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999
References