18 Show that if p is a positive integer such that both p and p² + 2 are prime, then p= 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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2.18 Show that if p is a positive integer such that both p and p² + 2 are
prime, then p = 3.
Transcribed Image Text:2.18 Show that if p is a positive integer such that both p and p² + 2 are prime, then p = 3.
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