Natural number
6000 (six thousand) is the natural number following 5999 and preceding 6001.
Selected numbers in the range 6001–6999
6001 to 6099
6100 to 6199
6200 to 6299
6300 to 6399
- 6311 – super-prime
- 6317 – balanced prime
- 6322 – centered heptagonal number[1]
- 6323 – Sophie Germain prime, balanced prime, super-prime
- 6328 – triangular number
- 6329 – Sophie Germain prime
- 6346 – Number of verses in the Qur'an according to the sect founded by Rashad Khalifa.[11]
- 6348 – pentagonal pyramidal number[12]
- 6361 – prime of the form 2p-1, twin prime
- 6364 – nonagonal number[2]
- 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[13]
- 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[3]
- 6521 – Sophie Germain prime
- 6542 – number of primes
.[14]
- 6545 – tetrahedral number[15]
- 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,[16] centered octagonal number[8]
- 6563 – Sophie Germain prime
- 6581 – Sophie Germain prime
- 6599 – safe prime
6600 to 6699
6700 to 6799
- 6719 – safe prime, highly cototient number[3]
- 6724 = 822
- 6728 – number of domino tilings of a 6×6 checkerboard
- 6761 – Sophie Germain prime
- 6765 – 20th Fibonacci number[18]
- 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[19]
- 6859 = 193
- 6863 – balanced prime
- 6879 – number of planar partitions of 15[20]
- 6880 – vampire number[21]
- 6889 = 832, centered octagonal number[8]
- 6899 – Sophie Germain prime, safe prime
6900 to 6999
Prime numbers
There are 117 prime numbers between 6000 and 7000:[22][23]
- 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