Suppose that a, b, c Z and 5|(a2 + b2 + c2). Prove that 5|a or

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Suppose that a, b, c ∈ Z and 5|(a2 + b2 + c2). Prove that 5|a or 5\b or 5|c.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:03 AM

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Suppose that a, b, c Z and 5|(a2 + b2 + c2). Prove that 5|a or

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Proof For all n Z we find that n 2 0 mod 5 when 5n or ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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