6000 (number)

Short description: Natural number

| <- 5999 | 6000 | 6001 ->

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List of numbers — Integers

← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →

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
Quaternary| 11313004
Quinary| 1430005
Senary| 434406
Octal| 135608
Duodecimal| 358012
Hexadecimal| 177016
Vigesimal| F0020
Base 36| 4MO36

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

## Contents

* 1 Selected numbers in the range 6001–6999
* 1.1 6001 to 6099
* 1.2 6100 to 6199
* 1.3 6200 to 6299
* 1.4 6300 to 6399
* 1.5 6400 to 6499
* 1.6 6500 to 6599
* 1.7 6600 to 6699
* 1.8 6700 to 6799
* 1.9 6800 to 6899
* 1.10 6900 to 6999
* 1.11 Prime numbers
* 2 See also
* 3 References

## 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
* 6042 – 6042 Cheshirecat is a 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]
* 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
* 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]
* 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[3]
* 6521 – Sophie Germain prime
* 6542 – number of primes ≤216.[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 – forty-fourth nonagonal number,[18] and the 11th third-convolution of Fibonacci numbers.[19] 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[3]
* 6724 = 822
* 6728 – number of domino tilings of a 6×6 checkerboard
* 6761 – Sophie Germain prime
* 6765 – 20th Fibonacci number[20]
* 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[21]
* 6859 = 193
* 6863 – balanced prime
* 6879 – number of planar partitions of 15[22]
* 6880 – vampire number[23]
* 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:[24][25]

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

1. ↑ 1.0 1.1 1.2 1.3 "Sloane's A069099 : Centered heptagonal numbers". OEIS Foundation. Archived from the original on 2016-06-09. https://web.archive.org/web/20160609232609/https://oeis.org/A069099.
2. ↑ 2.0 2.1 "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610053219/https://oeis.org/A001106.
3. ↑ 3.0 3.1 3.2 3.3 "Sloane's A100827 : Highly cototient numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610065744/https://oeis.org/A100827.
4. ↑ "Sloane's A005900 : Octahedral numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610061829/https://oeis.org/A005900.
5. ↑ "Sloane's A001599 : Harmonic or Ore numbers". OEIS Foundation. Archived from the original on 2016-06-17. https://web.archive.org/web/20160617102234/https://oeis.org/A001599.
6. ↑ 6.0 6.1 "Sloane's A000330 : Square pyramidal numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610053416/https://oeis.org/A000330.
7. ↑ "Sloane's A002407 : Cuban primes". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610045925/https://oeis.org/A002407.
8. ↑ 8.0 8.1 8.2 "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". OEIS Foundation. Archived from the original on 2016-06-23. https://web.archive.org/web/20160623170136/https://oeis.org/A016754.
9. ↑ "Sloane's A076980 : Leyland numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610064834/https://oeis.org/A076980.
10. ↑ 10.0 10.1 10.2 "Sloane's A001107 : 10-gonal (or decagonal) numbers". OEIS Foundation. Archived from the original on 2016-06-17. https://web.archive.org/web/20160617045914/https://oeis.org/A001107.
11. ↑ Gardner, Martin (September–October 1997), "The numerology of Dr. Rashad Khalifa", Skeptical Inquirer, archived from the original on 2004-09-27, https://web.archive.org/web/20040927010219/http://findarticles.com/p/articles/mi_m2843/is_n5_v21/ai_20121071
12. ↑ "Sloane's A002411 : Pentagonal pyramidal numbers". OEIS Foundation. Archived from the original on 2016-06-17. https://web.archive.org/web/20160617060238/https://oeis.org/A002411.
13. ↑ "Sloane's A002559 : Markoff (or Markov) numbers". OEIS Foundation. Archived from the original on 2016-06-29. https://web.archive.org/web/20160629173950/http://oeis.org/A002559.
14. ↑ Sloane, N. J. A., ed. "Sequence A007053". OEIS Foundation. https://oeis.org/A007053. Retrieved 2022-06-02.
15. ↑ "Sloane's A000292 : Tetrahedral numbers". OEIS Foundation. Archived from the original on 2016-06-13. https://web.archive.org/web/20160613134333/http://oeis.org/A000292.
16. ↑ "Sloane's A082897 : Perfect totient numbers". OEIS Foundation. Archived from the original on 2016-06-14. https://web.archive.org/web/20160614232003/http://oeis.org/A082897.
17. ↑ "Sloane's A002997 : Carmichael numbers". OEIS Foundation. Archived from the original on 2016-06-08. https://web.archive.org/web/20160608074320/http://oeis.org/A002997.
18. ↑ Sloane, N. J. A., ed. "Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers: a(n) is n*(7*n-5)/2.)". OEIS Foundation. https://oeis.org/A001106. Retrieved 2023-08-28.
19. ↑ Sloane, N. J. A., ed. "Sequence A001628 (Convolved Fibonacci numbers.)". OEIS Foundation. https://oeis.org/A001628. Retrieved 2023-08-28.
20. ↑ "Sloane's A000045 : Fibonacci numbers". OEIS Foundation. Archived from the original on 2016-06-16. https://web.archive.org/web/20160616135436/http://oeis.org/A000045.
21. ↑ Sloane, N. J. A., ed. "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". OEIS Foundation. https://oeis.org/A006958.
22. ↑ Sloane, N. J. A., ed. "Sequence A000219 (Number of planar partitions (or plane partitions) of n)". OEIS Foundation. https://oeis.org/A000219.
23. ↑ "Sloane's A014575 : Vampire numbers". OEIS Foundation. Archived from the original on 2016-06-16. https://web.archive.org/web/20160616072932/http://oeis.org/A014575.
24. ↑ Sloane, N. J. A., ed. "Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". OEIS Foundation. https://oeis.org/A038823.
25. ↑ Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". https://wstein.org/talks/2017-02-10-wing-rh_and_bsd/.

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