7000 (number)

**7000** (**seven thousand**) is a natural number. It is between 6999 and 7001.

### 7001 to 7099

- **7021** – triangular number
- **7043** – Sophie Germain prime
- **7056** = 84<sup>2</sup>
- **7057** – the cuban prime of _x_ = _y_ + 1. It is also a super-prime
- **7073** – Leyland number
- **7079** – a Sophie Germain prime and a safe prime

### 7100 to 7199

- **7103** – a Sophie Germain prime and a sexy prime with 7109
- **7106** – an octahedral number
- **7109** – a super-prime sexy prime with 7103
- **7121** – a Sophie Germain prime
- **7140** – a triangular number, and a pronic number. Since  = 3570, 3570 is also a triangular number and tetrahedral number
- **7151** – Sophie Germain prime
- **7155** – the number of 19-bead necklaces (turning over is allowed) where complements are the same
- **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<sup>2</sup>, centered octagonal number
- **7230** = 36<sup>2</sup> + 37<sup>2</sup> + 38<sup>2</sup> + 39<sup>2</sup> + 40<sup>2</sup> = 41<sup>2</sup> + 42<sup>2</sup> + 43<sup>2</sup> + 44<sup>2</sup>
- **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

- **7316** – the number of 18-bead binary necklaces with beads of 2 colors where colors can 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<sup>2</sup>

### 7400 to 7499

- **7417** – super-prime
- **7433** – Sophie Germain prime
- **7471** – centered cube number
- **7481** – super-prime, cousin prime

### 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** – highly composite number
- **7561** – Markov prime
- **7568** – centered heptagonal number
- **7569** = 87<sup>2</sup>, 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
- **7691** – Sophie Germain prime
- **7699** – super-prime, emirp, the sum of first 60 primes, the 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<sup>2</sup>, square palindrome not ending in 0
- **7750** – triangular number
- **7753** – super-prime
- **7770** – tetrahedral number
- **7776** = 6<sup>5</sup>, 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
- **7823** – Sophie Germain prime, safe prime, balanced prime
- **7825** – magic constant of _n_ × _n_ normal magic square and n-Queens Problem for _n_ = 25. It is also the first counterexample in the Boolean Pythagorean triples problem.
- **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<sub>11</sub>, the smallest sporadic simple group
- **7921** = 89<sup>2</sup>, centered octagonal number
- **7944** – nonagonal number
- **7957** – super-Poulet number
- **7965** – decagonal number
- **7979** – highly cototient number

### 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

## Infobox (number)

- **number**: 7000
- **roman**: MM, or
- **unicode**: MM, mm, ,
- **lang1**: Armenian numerals, Armenian
- **lang1 symbol**: Ւ