Question

Solve the question in the attachment.
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Answer 1

Answer :

We know that the difference between two odd numbers is even and the sum of two odd number is even . Using this facts, we can solve this question quite easily. p1 and p2 are two odd prime numbers . We can express

${p1}^{2} - {p2}^{2} = (p1 + p2)(p1 - p2)$

So p1 and p2 are both odd so the difference and the sum of two odd numbers are even So

${p1}^{2} - {p2}^{2}$

is an even number. Hope it helps you.