SOLUTION: If a & b are two odd prime numbers, show that a^2-b^2 is composite.

SOLUTION: If a & b are two odd prime numbers, show that a^2-b^2 is composite.

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Question 738231: If a & b are two odd prime numbers, show that a^2-b^2 is composite.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Assume p > q. Since p, q are both odd, p - q ≥ 2. Also, q ≥ 3, p ≥ 5.
Since p� - q� = (p + q) (p - q) where p + q, where p + q > p ≥ 5, and p - q ≥ 2, p� - q� is composite.
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