Find the smallest possible sum of six consecutive integers such that none of the integers is prime.

Find the smallest possible sum of six consecutive integers such that none of the integers is prime.

steps please!

you need the first gap of 7 between primes

looking at a list of primes, this is from 89 - 97
thus, 90 to 95 will be the first set of six consecutive non-primes

sum of 90 to 95 is 6(90 + 95)/2 = 3(185) = 555

find the lowest six consecutive integers that aren't prime: 90, 91, 92, 93, 94, 95

so the answer is 555