find all prime numbers p for which there are integers x and y satisfying p+1=2 x^2 and p^2+1=2y^2

Question

Vikas TU · Answer

Hiii Dasari
On evaluating and checking for all prime numbers , it is concluded that prime number 7 wil satisfy the both equation
in which the x and y should be an integer.
so, value of p comes out to be 7.
Hope this helps.

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find all prime numbers p for which there are integers x and y satisfying p+1=2 x^2 and p^2+1=2y^2

find all prime numbers p for which there are integers x and y satisfying p+1=2 x^2 and p^2+1=2y^2

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