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997 is a prime number from 901-1000. 997 has 2 factors, 1 and 997. It is the 168th prime number, and the fourteenth and last prime number from 901-1000. Furthermore, it is the largest prime number spelled without the letter “o”.

ProofsEdit

  • Yes — 997 can be divided by 1.
  • No — 997 cannot be divided by 2-996.
  • Yes — 997 can be divided by 997.


As an Exponent of Mersenne NumberEdit

2997 - 1 has a known factor, and is therefore not a prime number. The factor is 57 digits long:

167560816514084819488737767976263150405095191554732902607

Relationship with other odd numbersEdit

The numbers beforeEdit

  • The previous prime number is 991.
    • 991 and 997 are sexy primes.
  • The previous prime number before 991 is 983, 8 numbers away.
    • 989 is the product of 23 and 43.

The numbers afterEdit

  • The next prime number is 1,009, 12 numbers away.
    • 999 can be factored as 3 x 333.
    • 1,001 can be factored as 7 x 143.
    • 1,003 can be factored as 17 x 59.
    • 1,005 can be factored as 5 x 201.
    • 1,007 can be factored as 19 x 53.
  • 1,013 is the next prime number after 1,009.

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