8000 (number)

8000 (number)
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
8002 – Mertens function zero
8011 – Mertens function zero, super-prime
8012 – Mertens function zero
8017 – Mertens function zero
8021 – Mertens function zero
8039 – safe prime
8059 – super-prime
8069 – Sophie Germain prime
8093 – Sophie Germain prime
8100 to 8199
8100 = 902
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
8361 – Leyland number
8377 – super-prime
8385 – triangular number
8389 – super-prime, twin prime
8400 to 8499
8423 – safe prime
8436 – tetrahedral number
8464 = 922
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
8658 - sum of the first four perfect numbers (6, 28, 496, 8128) and the product of the culturally significant 666 and 13
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
8748 – 3-smooth number (22×37)
8751 – perfect totient number
8760 - the number of hours in a non-leap year; 365 × 24
8761 – super-prime
8778 – triangular number
8783 – safe prime
8784 - the number of hours in a leap year; 366 × 24
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
8833 = 882 + 332
8836 = 942
8839 – sum of twenty-three consecutive primes (313 + 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389 + 397 + 401 + 409 + 419 + 421 + 431 + 433 + 439 + 443 + 449)
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
8888 - repdigit
8900 to 8999
8911 – Carmichael number, triangular number
8923 – super-prime
8926 – centered heptagonal number
8933 – the 1,111th prime number
8944 – sum of the cubes of the first seven primes
8951 – Sophie Germain prime
8963 – safe prime
8964 – number referring to the 1989 Tiananmen Square Protests
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
Integers