# Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

## Unique Properties of 997

- 997 is the largest three-digit prime
- 997 is the smallest prime of form 10
^{p}- p, where p is prime - 997 is the smallest prime p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime
- 997 is the smallest prime p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime
- 997 is the smallest prime with digit sum 25
- 997 is the smallest prime p such that the digit sum of p is an odd composite number