## Prime summations

### Problem 77

Published on Friday, 27th August 2004, 06:00 pm; Solved by 11222; Difficulty rating: 25%It is possible to write ten as the sum of primes in exactly five different ways:

7 + 3

5 + 5

5 + 3 + 2

3 + 3 + 2 + 2

2 + 2 + 2 + 2 + 2

What is the first value which can be written as the sum of primes in over five thousand different ways?