179 is a 3-digit prime number. 179 has 2 factors, 1 and 179. It is the 41st prime number, and the sixteenth prime number from 101-200.
Proofs[]
— 179 is divisible by 1.
— 179 is not divisible by 2-178.
- — 179 is divisible by 179.
Therefore, 179 is a prime number.
As an Exponent of Mersenne Number[]
2179 - 1 is divisible by 359, 1,433, etc., and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 167 is the second previous prime number.
- 169 is a composite number. It is a square number, equal to 132.
- 171 is also a composite number. Its prime factorization is 32 × 19.
- 173 is the prime number preceding 179.
- The difference between 179 and 173 is 6. Therefore, they are sexy primes.
- 175 is a composite number. Its prime factorization is 52 × 7.
- 177 is also a composite number. Its prime factorization is 3 × 59.
The numbers after[]
- 181 is the odd number following 179, as well as the prime number following 179.
- The difference between 181 and 179 is 2. Therefore, they are twin primes.
- 183 is a composite number. Its prime factorization is 3 × 61.
- 185 is also a composite number. Its prime factorization is 5 × 37.
- 187 is yet another composite number. Its prime factorization is 11 × 17.
- 189 is unsurprisingly a composite number. Its prime factorization is 33 × 7.
- 191 is the prime number following 181.
In science[]
- Unseptennium is the temporary name for a hypothetical element 179.
Trivia[]
- 179 is part of the Cunningham chain (89, 179, 359, 719, 1,439, 2,879).
- Since 179 is neither at the start or the end of this chain, it is both a Sophie Germain prime and a safe prime.
- 179 is an emirp, since its reverse, 971, is also prime.
- 179 is a super prime, since its position in the set of all prime numbers, 41, is also prime.