# 7000 (number)

7000 (seven thousand) is the natural number following 6999 and preceding 7001.

## Selected numbers in the range 7001–7999
### 7001 to 7099

* 7021 – triangular number
* 7043 – Sophie Germain prime
* 7056 = 84$^2$
* 7057 – cuban prime of the form x = y + 1, super-prime
* 7073 – Leyland number
* 7079 – Sophie Germain prime, safe prime

### 7100 to 7199

* 7103 – Sophie Germain prime, sexy prime with 7109
* 7106 – octahedral number
* 7109 – super-prime, sexy prime with 7103
* 7121 – Sophie Germain prime
* 7140 – triangular number, also a pronic number and hence ⁠7140/2⁠ = 3570 is also a triangular number, tetrahedral number
* 7141 - sum of the first 58 primes, star number
* 7151 – Sophie Germain prime
* 7155 – number of 19-bead necklaces (turning over is allowed) where complements are equivalent
* 7187 – safe prime
* 7192 – weird number
* 7193 – Sophie Germain prime, super-prime

### 7200 to 7299

* 7200 – pentagonal pyramidal number
* 7211 – Sophie Germain prime
* 7225 = 85$^2$, centered octagonal number
* 7230 = 36$^2$ + 37$^2$ + 38$^2$ + 39$^2$ + 40$^2$ = 41$^2$ + 42$^2$ + 43$^2$ + 44$^2$
* 7246 – centered heptagonal number
* 7247 – safe prime
* 7260 – triangular number
* 7267 – decagonal number
* 7272 – Kaprekar number
* 7283 – super-prime
* 7291 – nonagonal number

### 7300 to 7399

* 7310 - pronic number
* 7316 – number of 18-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
* 7338 – Fine number.
* 7349 – Sophie Germain prime
* 7351 – super-prime, cuban prime of the form x = y + 1
* 7381 – triangular number
* 7385 – Keith number
* 7396 = 86$^2$

### 7400 to 7499

* 7417 – super-prime
* 7418 - sum of the first 59 primes
* 7433 – Sophie Germain prime
* 7471 – centered cube number
* 7481 – super-prime, cousin prime
* 7482 - pronic number

### 7500 to 7599

* 7503 – triangular number
* 7523 – balanced prime, safe prime, super-prime
* 7537 – prime of the form 2p-1
* 7541 – Sophie Germain prime
* 7559 – safe prime
* 7560 – the 20th highly composite number
* 7561 – Markov prime, star prime
* 7568 – centered heptagonal number
* 7569 = 87$^2$, centered octagonal number
* 7583 – balanced prime

### 7600 to 7699

* 7607 – safe prime, super-prime
* 7612 – decagonal number
* 7614 – nonagonal number
* 7626 – triangular number
* 7643 – Sophie Germain prime, safe prime
* 7647 – Keith number
* 7649 – Sophie Germain prime, super-prime
* 7656 - pronic number
* 7691 – Sophie Germain prime
* 7699 – super-prime, emirp, sum of the first 60 primes, first prime above 281 to be the sum of the first k primes for some k

### 7700 to 7799

* 7703 – safe prime
* 7710 = number of primitive polynomials of degree 17 over GF(2)
* 7714 – square pyramidal number
* 7727 – safe prime
* 7739 – member of the Padovan sequence
* 7741 = number of trees with 15 unlabeled nodes
* 7744 = 88$^2$, square palindrome not ending in 0
* 7750 – triangular number
* 7753 – super-prime
* 7770 – tetrahedral number
* 7776 = 6$^5$, number of primitive polynomials of degree 18 over GF(2)
* 7777 – Kaprekar number, repdigit

### 7800 to 7899

* 7810 – ISO/IEC 7810 is the ISO's standard for physical characteristics of identification cards
* 7821 – n=6 value of $\sum _{k=1}^{n}n^{floor({\frac {n}{k}})-1}$
* 7823 – Sophie Germain prime, safe prime, balanced prime
* 7825 – magic constant of n × n normal magic square and n-Queens Problem for n = 25. Also the first counterexample in the Boolean Pythagorean triples problem.
* 7832 - pronic number
* 7841 – Sophie Germain prime, balanced prime, super-prime
* 7875 – triangular number
* 7883 – Sophie Germain prime, super-prime
* 7897 – centered heptagonal number

### 7900 to 7999

* 7901 – Sophie Germain prime
* 7909 – Keith number
* 7912 – weird number
* 7919 – 1000th prime number
* 7920 – the order of the Mathieu group M$_{11}$, the smallest sporadic simple group
* 7921 = 89$^2$, centered octagonal number
* 7944 – nonagonal number
* 7957 – super-Poulet number
* 7965 – decagonal number
* 7979 – highly cototient number
* 7982 - sum of the first 61 primes
* 7993 - star prime, reverse superstar prime

### Prime numbers

There are 107 prime numbers between 7000 and 8000:
    7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993