# 6000 (number)

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 Dead Kennedys from June 1978 to March 1979. Full name is Carlos Cadona.
* 6028 – centered heptagonal number
* 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
* 6073 – balanced prime
* 6079 – The serial number Winston Smith is referred to as in the George Orwell novel Nineteen Eighty-Four
* 6084 = 78$^2$, sum of the cubes of the first twelve integers
* 6081 - sum of the first 54 primes
* 6089 – highly cototient number
* 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 (2$^{11}$×3)
* 6173 – Sophie Germain prime
* 6174 – Kaprekar's constant
* 6181 – octahedral number

### 6200 to 6299

* 6200 – harmonic divisor number
* 6201 – square pyramidal number
* 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
* 6241 = 79$^2$, centered octagonal number
* 6250 – Leyland number
* 6263 – Sophie Germain prime, balanced prime
* 6269 – Sophie Germain prime
* 6280 – decagonal number

### 6300 to 6399

* 6311 – super-prime
* 6317 – balanced prime
* 6322 – centered heptagonal number
* 6323 – Sophie Germain prime, balanced prime, super-prime
* 6328 – triangular number
* 6329 – Sophie Germain prime
* 6337 - star prime
* 6338 - sum of the first 55 primes
* 6346 – Number of verses in the Qur'an according to the sect founded by Rashad Khalifa.
* 6348 – pentagonal pyramidal number
* 6361 – prime of the form 2p-1, twin prime
* 6364 – nonagonal number
* 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 = 80$^2$
* 6408 – sum of the squares of the first thirteen primes
* 6441 – triangular number
* 6449 – Sophie Germain prime
* 6466 – Markov number
* 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
* 6521 – Sophie Germain prime
* 6542 – number of primes $\leq 2^{16}$.
* 6545 – tetrahedral number
* 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 = 81$^2$ = 9$^4$ = 3$^8$, perfect totient number
* 6563 – Sophie Germain prime
* 6581 – Sophie Germain prime
* 6599 – safe prime

### 6600 to 6699

* 6601 - Carmichael number, decagonal number, sum of the first 56 primes
* 6623 – centered heptagonal number
* 6659 – safe prime
* 6666 – forty-fourth nonagonal number, and the 11th third-convolution of Fibonacci numbers. In Christian demonology it represents the number of demons in a legion of demons.
* 6670 – triangular number, centered nonagonal number, centered 19-gonal number,

### 6700 to 6799

* 6719 – safe prime, highly cototient number
* 6724 = 82$^2$
* 6733 - star prime
* 6728 – number of domino tilings of a 6×6 checkerboard
* 6761 – Sophie Germain prime
* 6765 – 20th Fibonacci number
* 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
* 6859 = 19$^3$
* 6863 – balanced prime
* 6870 - sum of the first 57 primes
* 6879 – number of planar partitions of 15
* 6880 – vampire number
* 6889 = 83$^2$, centered octagonal number
* 6899 – Sophie Germain prime, safe prime

### 6900 to 6999

* 6903 – triangular number
* 6912 – 3-smooth number (2$^8$×3$^3$)
* 6924 – magic constant of n × n normal magic square and n-Queens Problem for n = 24.
* 6929 – highly cototient number
* 6930 – decagonal number, square pyramidal number
* 6931 – centered heptagonal number
* 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:
    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