Prove that every positive integer greater than 1 has a prime divisor. b.) Prove that there are no

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 19E: Prove that if n is a positive integer greater than 1 such that n is not a prime, then n has a...
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Answer the following:

a.) Prove that every positive integer greater than 1 has a prime divisor.

b.) Prove that there are no positive integers strictly between 0 and 1.

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