Question

There are two prime numbers p and q p>q and their sum is 7249 find p-q​

Answer 1

Answer:

Given p,q are two prime numbers which satisfy p

2

−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 p

2

+2q

2

=3

2

+2×2

2

=9+2×4=17

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