b) What values can R take if n is a perfect square? c) What values can R take if n is a perfect cube?
Does there exist a natural number N such that: a) N² + 1 is divisible by 3? b) N³ + 3 is divisible by 99?
Prove that if x² + y² is divisible by 3 (with x, y integers), then x and y are both divisible by
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