8000 (number)
8000 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 number8002 – Mertens function zero8011 – Mertens function zero, super-prime8012 – Mertens function zero8017 – Mertens function zero8021 – Mertens function zero8039 – safe prime8059 – super-prime8069 – Sophie Germain prime8093 – Sophie Germain prime
8100 to 8199
8100 = 9028101 – super-prime8111 – Sophie Germain prime8117 – super-prime, balanced prime8119 – octahedral number; 8119/5741 ≈ √28125 – pentagonal pyramidal number8128 – perfect number, harmonic divisor number, 127th triangular number, 64th hexagonal number, eighth 292-gonal number, fourth 1356-gonal number8147 – safe prime8189 – highly cototient number8190 – harmonic divisor number8191 – Mersenne prime8192 = 213
8208 – base 10 narcissistic number as 84 + 24 + 04 + 84 = 82088219 – twin prime with 82218221 – super-prime, twin prime with 82198233 – super-prime, centered heptagonal number8243 – Sophie Germain prime8256 – triangular number8257 – sum of the squares of the first fourteen primes8269 – cuban prime of the form x = y + 18273 – Sophie Germain prime8281 = 912, sum of the cubes of the first thirteen integers, nonagonal number, centered octagonal number8287 – super-prime
8300 to 8399
8321 – super-Poulet number8326 – decagonal number8345 - smallest pandigital number in base 68361 – Leyland number8363 – prime number, number of prime numbers having five digits8377 – super-prime8385 – triangular number8389 – super-prime, twin prime
8400 to 8499
8423 – safe prime8436 – tetrahedral number8437 - star number8464 = 922
8500 to 8599
8513 – Sophie Germain prime, super-prime8515 – triangular number8521 – sexy prime with 85278527 – super-prime, sexy prime with 85218543 – safe prime8555 – square pyramidal number8558 – Large Schröder number8576 – centered heptagonal number8581 – super-prime
8600 to 8699
8625 – nonagonal number8646 – triangular number8649 = 932, centered octagonal number8658 - sum of the first four perfect numbers and the product of the culturally significant 666 and 138663 – Sophie Germain prime8693 – Sophie Germain prime8695 – decagonal number8699 – safe prime
8700 to 8799
8712 – smallest number that is divisible by its reverse: 8712 = 4 × 2178 8713 – balanced prime8719 – super-prime8741 – Sophie Germain prime8747 – safe prime, balanced prime, super-prime8748 – 3-smooth number 8751 – perfect totient number8760 - the number of hours in a non-leap year; 365 × 248761 – super-prime8778 – triangular number8783 – safe prime8784 - 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 8819 – safe prime8833 = 882 + 3328836 = 9428839 – sum of twenty-three consecutive primes 8849 – super-prime8855 – member of a Ruth-Aaron pair with 88568856 – member of a Ruth-Aaron pair with 88558888 - repdigit8893 - star prime
8900 to 8999
8911 – Carmichael number, triangular number8923 – super-prime8926 – centered heptagonal number8933 – the 1,111th prime number8944 – sum of the cubes of the first seven primes8951 – Sophie Germain prime8963 – safe prime8964 – number referring to the 1989 [Tiananmen Square Protests]8969 – Sophie Germain prime8976 – enneagonal number8999 – super-prime
Prime numbers
There are 110 prime numbers between 8000 and 9000: