Uniqueness Proof for Discrete Math

Question

Can someone show me how to prove the uniqueness of (p is prime and q is prime and p-q=3)?

Hint: $p = q+3$ and adding $3$ to an odd number would give an even number. — Tobias Kildetoft, Oct 21 '13 at 18:06

score 2 · Answer 1 · answered Oct 21 '13 at 18:06

2

p-q = 3 implies that p or q is even. The only even prime is 2. Therefore q = 2, hence the uniqueness.

answered Oct 21 '13 at 18:06

1 Answers1