Question: Number theory problem Prove that 2 is a square mod p if and only if p 1 mod 8. (Hint: remember the computations of the

Number theory problem

Prove that 2 is a square mod p if and only if p 1 mod 8. (Hint: remember the computations of the form (2 1)(2 2). . .(2 11) 2 4 . . . 10 (11) (9) . . . (1) mod 23 to help you compute 2¹¹ mod 23.)

p is a prime in N.

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