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Prove that if n is composite, then n has a prime divisor p satisfying p ≤ √√n.

Prove that if n is composite, then n has a prime divisor p satisfying p ≤ √√n.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 15E: Prove that if is a prime integer, then is irrational.
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Prove that if n is composite, then n has a prime divisor p satisfying p ≤√√n.
Transcribed Image Text:Prove that if n is composite, then n has a prime divisor p satisfying p ≤√√n.
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