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Problem 5. Let n E Z. Prove the following Claim: 1 If 4 divides n 1, then n is odd and (1)% = 1.
let n belong to any Z, prove the following claim:
if 4 divides n-1, then n is odd and (-1)^((n-1)/2)=1
Problem 5. Let n E Z. Prove the following Claim: 1 If 4 divides n — 1, then n is odd and (—1)% = 1.