173 is a prime number from 101-200. 173 has 2 factors, 1 and 173. It is the 40th prime number, and the fifteenth prime number from 101-200.
Proofs[]
As an Exponent of Mersenne Number[]
2173 - 1 is divisible by number such as 730,753 and 1,505,447, and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- The previous prime number is 167.
- Notably, 169 is not a prime number. It is a square number, being 132 = 169.
- 167 and 173 are six numbers apart; therefore, they are sexy primes.
- The previous prime number before 167 is 163.
The numbers after
- The next prime number is 179.
- 173 and 179 are six numbers apart; therefore, they are sexy primes.
- 171 and 177 are all divisible by 3.
- 179 is, indeed, a twin prime with 181.