Question: Problem 2. If n E 5(m0d 8), then 71 is a sum of three squares. (1). Use (11) to show that 1 Elp E 3R2

Problem 2. If n E 5(m0d 8), then 71 is a sum of three squares. (1). Use (11) to show that 1 Elp E 3R2 (mod 4n). Write p = 4m + 334, 0! = 83' + 3. Then 2p=8nj+3n1=dn1. (ii). Prove that (id) = 1, so d is a quadratic residue (mod p). (iii). Prove that d is a quadratic residue (mod 2p)

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