The triangle with sides 3, 4, and 5, is the smallest integer sided pythagorean triangle. Can you prove that in every such triangle:

- at least one of its sides must be multiple of 3?
- at least one of its sides must be multiple of 4?
- at least one of its sides must be multiple of 5?

(In reply to

Somekind of solution by atheron)

Actually, not ALL pythagorean triples are produced with this formula; for example, (9,12,15) cannot be obtained. The general formula is 2LMN, L(M^2-N^2), L(M^2+N^2).