Question

Express the given number as the sum of three different primes: $51$

Answer 1

Expressing $51$ as a sum of three different prime numbers

Prime Number: A number that has only two factors ,$1$ and the number itself.

We need to write all the prime numbers between $1\mathrm{and}51$

Prime number:$2,3,5,7,11,13,17,19,23,29,31,37,41,43,47$

By hit and trial, we observe that

$51=11+17+23$

Hence, $11,17\mathrm{and}23$ are three different prime numbers whose sum is $51$