Exercise 1. Show that there are infinitely many primes of the form 4n +3. Hint: you might find it useful that (4n+1)(4m+1) = 16mn+4m+4n+1 4(4mn+m+n)+1. So, products of numbers of the form 4(-) +1 are also of that form. %3D
Exercise 1. Show that there are infinitely many primes of the form 4n +3. Hint: you might find it useful that (4n+1)(4m+1) = 16mn+4m+4n+1 4(4mn+m+n)+1. So, products of numbers of the form 4(-) +1 are also of that form. %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 28E
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