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197 is a prime number from 101-200. 197 has 2 factors, 1 and 197. It is the 45th prime number, and the twentieth prime number from 101-200.

Proofs

  • Yes — 197 can be divided by 1.
  • No — 197 cannot be divided by 2-196.
  • Yes — 197 can be divided by 197.


As an Exponent of Mersenne Number

2197 - 1 is divisible by 7,487, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 193.
    • 193 and 197 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 103 is 101.
    • 191 and 197 are six numbers apart; therefore, they are sexy primes.

The numbers after

  • The next prime number is 199.
    • There are no odd numbers between 197 and 199. As a result, they are twin primes.
  • 211 is the next prime number after 199.
    • In particular, 201 is divisible by 3, 203 by 7, 207 by 3, and 209 by 11.