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97 is a prime number from 1-100. 97 has 2 factors, 1 and 97. It is the 25th prime number, and the 25th and last prime number from 1-100.

Proofs

  • Yes — 97 can be divided by 1.
  • No — 97 cannot be divided by 2-96.
  • Yes — 97 can be divided by 97.


As an Exponent of Mersenne Number

297 - 1 is divisible by 11,447, and is therefore not a prime number.

Relationship with other odd numbers

The numbers before

  • The previous prime number is 89. All numbers between 91 and 97 are composite.
    • Among them, 91 is divisible by 7 and 13, 93 by 3, and 95 by 5.
    • 89 and 97 are eight numbers apart. It features the longest gap between prime numbers from 1 to 100.

The numbers after

  • The next prime number is 101. 101 is the first 3-digit prime.
    • 97 and 101 are four numbers apart; therefore, they are cousin primes.
  • The next prime number after 101 is 103.
    • 97 and 103 are six numbers apart; therefore, they are sexy primes.