Let n Z with n 1 a) If n 2k where k is an odd integer, prove that k3 k (mod n) b) If n 4k for some k Z , prove that (2k)2 0 (mod ft) c) Prove that 10(modn), otherwise with or n even old (mod n otherwise ...

Proof a For n 2 and k 1 we have l 3 1 and l 3 1 mod 2 When n 2 then k 3 k ...

Let n Z+ with n > 1. a) If n = 2k where k is an

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Let n ˆˆ Z+ with n > 1.
a) If n = 2k where k is an odd integer, prove that
k3 =k (mod n).
b) If n = 4k for some k ˆˆ Z+, prove that
(2k)2 = 0 (mod ft).
c) Prove that

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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 09:02 AM

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Let n Z+ with n > 1. a) If n = 2k where k is an

Question:

10(modn), otherwise. with or n even old. Σǐ (mod n otherwise.

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Proof a For n 2 and k 1 we have l 3 1 and l 3 1 mod 2 When n 2 then k 3 k ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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