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)
 ← 5999 6000 6001 →
Cardinalsix thousand
Ordinal6000th
(six thousandth)
Factorization24 × 3 × 53
Greek numeral,Ϛ´
Roman numeralVM, or VI
Unicode symbol(s)VM, vm, VI, vi
Binary10111011100002
Ternary220200203
Senary434406
Octal135608
Duodecimal358012

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

## Selected numbers in the range 6001–6999

### 6300 to 6399

• 6311super-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]
• 6348pentagonal 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
• 6466Markov 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]
• 6521Sophie Germain prime
• 6542 – number of primes ${\displaystyle \leq 2^{16))$.[14]
• 6545tetrahedral 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

### 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]
• 6880vampire number[21]
• 6889 = 832, centered octagonal number[8]
• 6899 – Sophie Germain prime, safe prime

### 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

## References

1. ^ 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.
2. ^ 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.
3. ^ 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.
4. ^ "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.
5. ^ "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.
6. ^ 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.
7. ^ "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.
8. ^ 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.
9. ^ "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.
10. ^ 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.
11. ^ Gardner, Martin (September–October 1997), "The numerology of Dr. Rashad Khalifa", Skeptical Inquirer, archived from the original on 2004-09-27
12. ^ "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.
13. ^ "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.
14. ^ Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
15. ^ "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.
16. ^ "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.
17. ^ "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.
18. ^ "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.
19. ^
20. ^
21. ^ "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.
22. ^ 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.
23. ^ Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved 6 February 2021.