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  3. a.) prove the following: lemma. let a and b be int

a.) Prove the following: Lemma. Let a and b be integers. If both a and b...

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Advance Math

a.) Prove the following: Lemma. Let a and b be integers. If botha and b have the form 4k+1 (where k is an integer), then ab alsohas the form 4k+1.

b.)The lemma from part a generalizes two products of integers ofthe form 4k+1. State and prove the generalized lemma.

c.) Prove that any natural number of the form 4k+3 has a primefactor of the form 4k+3.

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