Let-n-be-a-positive-integer-and-p-1-p-2-p-n-be-n-prime-numbers-all-larger-than-5-such-that-6-divides-p-1-2-p-2-2-p-n-2-Prove-that-6-divides-n-

Question Number 23000 by Tinkutara last updated on 24/Oct/17

Let n be a positive integer and p_{1}, p_{2},

\dots, p_{n} be n prime numbers all larger

than 5 such that 6 divides p_{1}^{2} + p_{2}^{2} + \dots +

p_{n}^{2} . Prove that 6 divides n .