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163 is a prime number from 101-200. 163 has 2 factors, 1 and 163. It is the 38th prime number, and the thirteenth prime number from 101-200.

Proofs

  • Yes — 163 can be divided by 1.
  • No — 163 cannot be divided by 2-162.
  • Yes — 163 can be divided by 163.


As an Exponent of Mersenne Number

2163 - 1 is divisible by numbers such as 150,287 and 704,161, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 157.
    • In particular, 161 is divisible by 7, therefore not a prime number.
    • 157 and 163 are six numbers apart; therefore, they are sexy primes.
  • The previous prime number before 157 is 151.

The numbers after

  • The next prime number is 167.
    • 163 and 167 are four numbers apart; therefore, they are cousin primes.
  • 173 is the next prime number after 167.
    • Notably, 169 is not a prime number. It is a square number, being 132 = 169.