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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”.

## Proofs

• — 997 can be divided by 1.
• — 997 cannot be divided by 2-996.
• — 997 can be divided by 997.

## As an Exponent of Mersenne Number

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

167560816514084819488737767976263150405095191554732902607

## Relationship with other odd numbers

### The numbers before

• 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 after

• 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.