6000 (number)

A request that this article title be changed to 6000-6999 (numbers) is under discussion. Please do not move this article until the discussion is closed.

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "6000" number – news · newspapers · books · scholar · JSTOR (December 2009) (Learn how and when to remove this template message)

6000 (six thousand) is the natural number following 5999 and preceding 6001.

Selected numbers in the range 6001–6999

6001 to 6099

• 6025 – Stage name of rhythm guitarist of the
  Carlos Cadona
  .
• 6028 – centered heptagonal number^[1]
• 6037 – super-prime, prime of the form 2p-1
• 6042 –
  Mars-crossing asteroid
  .
• 6047 –
  safe prime
• 6053 –
  Sophie Germain prime
• 6069 – nonagonal number^[2]
• 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^[3]
• 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^[4]

6200 to 6299

• 6200 – harmonic divisor number^[5]
• 6201 – square pyramidal number^[6]
• 6216 – triangular number
• 6217 – super-prime, prime of the form 2p-1
• 6229 – super-prime
• 6232 –
  amicable number
  with 6368
• 6236 – Most widely accepted figure for the number of verses in the
  Qur'an^{[citation needed}
  ]
• 6241 = 79², centered octagonal number^[7]
• 6250 – Leyland number^[8]
• 6263 – Sophie Germain prime, balanced prime
• 6269 – Sophie Germain prime
• 6280 – decagonal number^[9]

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.^[10]
• 6348 –
  pentagonal pyramidal number^[11]
• 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^[12]
• 6480 – smallest number with exactly 50 factors
• 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^[13]
• 6521 –
  Sophie Germain prime
• 6542 – number of primes ${\displaystyle \leq 2^{16}}$.^[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]
• 6563 – Sophie Germain prime
• 6581 – Sophie Germain prime
• 6599 – safe prime

6600 to 6699

• 6601 - Carmichael number,^[17] decagonal number^[9]
• 6623 – centered heptagonal number^[1]
• 6659 – safe prime
• 6666 – forty-fourth nonagonal number,^[2] and the 11th third-convolution of Fibonacci numbers.^[18] In Christian demonology it represents the number of demons in a legion of demons.^{[citation needed]}
• 6670 – triangular number

6700 to 6799

• 6719 – safe prime, highly cototient number^[13]
• 6724 = 82²
• 6728 – number of domino tilings of a 6×6 checkerboard
• 6761 – Sophie Germain prime
• 6765 – 20th
  Fibonacci number^[19]
• 6779 – safe prime
• 6786 – triangular number

• 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[20]
• 6859 = 19³
• 6863 – balanced prime
• 6879 – number of planar partitions of 15^[21]
• 6880 – vampire number^[22]
• 6889 = 83², centered octagonal number^[7]
• 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^[13]
• 6930 – decagonal number,^[9] square pyramidal number^[6]
• 6931 – centered heptagonal number^[1]
• 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:^[23][24]

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