Square roots. In this problem, we’ll see that it is easy to compute square roots modulo a prime p with p ≡ 3 (mod 4).
(a) Suppose p ≡ 3 (mod 4). Show that (p + 1)/4 is an integer.
(b) We say x is a square root of a modulo p if a ≡ x2 (mod p). Show that if p ≡ 3 (mod 4) and if a has a square root modulo p, then a(p+1)/4 is such a square root.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.