Question

if p and q are two prime numbers show that p^2-q^2 is composite​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Given p,q are two prime numbers which satisfy, p2−2q 2=1

We can see by hit and trial method that the first pair of prime number is p=3,q=2 satisfying the equation:

(3)2−2×(2)2

=9−2×4=9−8=1

Value of p2+2q2=(3)2+2×(2)2

=9+2×4=17