2. Recall that a number m is said to be square free if ď² | m for d≥ 1 implies that d = 1. Equivalently, m is not divisible by the square of any prime p. Show that there are infinitely many integers n such that each of the numbers n, n+1, n +2 and n + 3 not square free.
2. Recall that a number m is said to be square free if ď² | m for d≥ 1 implies that d = 1. Equivalently, m is not divisible by the square of any prime p. Show that there are infinitely many integers n such that each of the numbers n, n+1, n +2 and n + 3 not square free.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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