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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[]

  • Yes — 173 can be divided by 1.
  • No — 173 cannot be divided by 2-172.
  • Yes — 173 can be divided by 173.

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.

Trivia[]

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