For each natural number n, if 3 does not divide (n² + 2), then n is not a prime number or n = 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 29E
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16. Is the following proposition true or false? Justify your conclusion with a
proof or a counterexample.
For each natural number n, if 3 does not divide (n² +2), then n is not
a prime number or n = 3.
Transcribed Image Text:16. Is the following proposition true or false? Justify your conclusion with a proof or a counterexample. For each natural number n, if 3 does not divide (n² +2), then n is not a prime number or n = 3.
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