6000 (number)
Appearance
This article needs additional citations for verification. (December 2009) |
| ||||
---|---|---|---|---|
Cardinal | six thousand | |||
Ordinal | 6000th (six thousandth) | |||
Factorization | 24 × 3 × 53 | |||
Greek numeral | ,Ϛ´ | |||
Roman numeral | VM, or VI | |||
Unicode symbol(s) | VM, vm, VI, vi | |||
Binary | 10111011100002 | |||
Ternary | 220200203 | |||
Senary | 434406 | |||
Octal | 135608 | |||
Duodecimal | 358012 | |||
Hexadecimal | 177016 |
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[1]
- 6037 – super-prime, prime of the form 2p-1
- 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]
- 6211 – cuban prime of the form x = y + 1[7]
- 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[8]
- 6250 – Leyland number[9]
- 6263 – Sophie Germain prime, balanced prime
- 6269 – Sophie Germain prime
- 6280 – decagonal number[10]
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
- 6601 – Carmichael number,[17] decagonal number[10]
- 6623 – centered heptagonal number[1]
- 6659 – safe prime
- 6666 – nonagonal number; the number of demons in a legion of demons
- 6670 – triangular number
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
- 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[3]
- 6930 – decagonal number,[10] 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:[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
See also
References
- ^ a b c d "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-09. Retrieved 2016-06-14.
- ^ a b "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
- ^ a b c d "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
- ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
- ^ "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-17. Retrieved 2016-06-14.
- ^ a b "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
- ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
- ^ a b c "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-23. Retrieved 2016-06-14.
- ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
- ^ a b c "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-17. Retrieved 2016-06-14.
- ^ Gardner, Martin (September–October 1997), "The numerology of Dr. Rashad Khalifa", Skeptical Inquirer, archived from the original on 2004-09-27
- ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-17. Retrieved 2016-06-14.
- ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-29. Retrieved 2016-06-14.
- ^ Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
- ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-13. Retrieved 2016-06-14.
- ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-14. Retrieved 2016-06-14.
- ^ "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-08. Retrieved 2016-06-14.
- ^ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-16. Retrieved 2016-06-14.
- ^ Sloane, N. J. A. (ed.). "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000219 (Number of planar partitions (or plane partitions) of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A014575 : Vampire numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-16. Retrieved 2016-06-14.
- ^ Sloane, N. J. A. (ed.). "Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved 6 February 2021.