6000 (number)

6000 (number)
6000 (six thousand) is the natural number following 5999 and preceding 6001.
Selected numbers in the range 6001–6999
6001 to 6099
6025 – Rhythm guitarist of the Dead Kennedys from June 1978 to March 1979. Full name is Carlos Cadona.
6028 – centered heptagonal number
6037 – super-prime, prime of the form 2p-1
6042 – 6042 Cheshirecat is a Mars-crossing asteroid.
6047 – safe prime
6053 – Sophie Germain prime
6069 – nonagonal number
6073 – balanced prime
6079 – The serial number Winston Smith is referred to as in the George Orwell novel Nineteen Eighty-Four
6084 = 782, sum of the cubes of the first twelve integers
6089 – highly cototient number
6095 – magic constant of n × n normal magic square and n-Queens Problem for n = 23.
6100 to 6199
6101 – Sophie Germain prime
6105 – triangular number
6113 – Sophie Germain prime, super-prime
6121 – prime of the form 2p-1
6131 – Sophie Germain prime, twin prime with 6133
6133 – 800th prime number, twin prime with 6131
6143 – Thabit number
6144 – 3-smooth number (211×3)
6173 – Sophie Germain prime
6174 – Kaprekar's constant
6181 – octahedral number
6200 to 6299
6200 – harmonic divisor number
6201 – square pyramidal number
6211 – cuban prime of the form x = y + 1
6216 – triangular number
6217 – super-prime, prime of the form 2p-1
6229 – super-prime
6232 – amicable number with 6368
– Most widely accepted figure for the number of verses in the Qur'an
6241 = 792, centered octagonal number
6250 – Leyland number
6263 – Sophie Germain prime, balanced prime
6269 – Sophie Germain prime
6280 – decagonal number
6300 to 6399
6311 – super-prime
6317 – balanced prime
6322 – centered heptagonal number
6323 – Sophie Germain prime, balanced prime, super-prime
6328 – triangular number
6329 – Sophie Germain prime
– Number of verses in the Qur'an according to the sect founded by Rashad Khalifa.
6348 – pentagonal pyramidal number
6361 – prime of the form 2p-1, twin prime
6364 – nonagonal number
6367 – balanced prime
6368 – amicable number with 6232
6373 – balanced prime, sum of three and seven consecutive primes (2113 + 2129 + 2131 and 883 + 887 + 907 + 911 + 919 + 929 + 937)
6397 – sum of three consecutive primes (2129 + 2131 + 2137)
6399 – smallest integer that cannot be expressed as a sum of fewer than 279 eighth powers
6400 to 6499
6400 = 802
6408 – sum of the squares of the first thirteen primes
6441 – triangular number
6449 – Sophie Germain prime
6466 – Markov number
6491 – Sophie Germain prime
6500 to 6599
6502 – model number of the MOS Technology 6502 which equipped early computers such as the Apple I and II, Commodore PET, Atari and others.
6509 – highly cototient number
6521 – Sophie Germain prime
6542 – number of primes .
6545 – tetrahedral number
6551 – Sophie Germain prime
6555 – triangular number
6556 – member of a Ruth-Aaron pair with 6557 (first definition)
6557 – member of a Ruth-Aaron pair with 6556 (first definition)
6561 = 812 = 94 = 38, perfect totient number, centered octagonal number
6563 – Sophie Germain prime
6581 – Sophie Germain prime
6599 – safe prime
6600 to 6699
6601 – Carmichael number, decagonal number
6623 – centered heptagonal number
6659 – safe prime
6666 – forty-fourth nonagonal number, and the 11th third-convolution of Fibonacci numbers. In Christian demonology it represents the number of demons in a legion of demons.
6670 – triangular number
6700 to 6799
6719 – safe prime, highly cototient number
6724 = 822
6728 – number of domino tilings of a 6×6 checkerboard
6761 – Sophie Germain prime
6765 – 20th Fibonacci number
6779 – safe prime
6786 – triangular number
6800 to 6899
6811 – member of a Ruth-Aaron pair with 6812 (first definition)
6812 – member of a Ruth-Aaron pair with 6811 (first definition)
6827 – safe prime
6841 - largest right-truncatable prime in base 7
6842 – number of parallelogram polyominoes with 12 cells
6859 = 193
6863 – balanced prime
6879 – number of planar partitions of 15
6880 – vampire number
6889 = 832, centered octagonal number
6899 – Sophie Germain prime, safe prime
6900 to 6999
6903 – triangular number
6912 – 3-smooth number (28×33)
6924 – magic constant of n × n normal magic square and n-Queens Problem for n = 24.
6929 – highly cototient number
6930 – decagonal number, square pyramidal number
6931 – centered heptagonal number
6969 – 2015 comedic progressive rock song by the band Ninja Sex Party
6975 – nonagonal number
6977 – balanced prime
6983 – Sophie Germain prime, safe prime
6997 – 900th prime number
Prime numbers
There are 117 prime numbers between 6000 and 7000:
6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997
See also
Year 6000
References
Integers