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# Show that if the smallest prime factor p of the positive ## Problem 32E Chapter 4.SE

Discrete Mathematics and Its Applications | 7th Edition

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Problem 32E

Show that if the smallest prime factor p of the positive integer n is larger than then n/p is prime or equal to 1.

A set of integers is called mutually relatively prime if the greatest common divisor of these integers is 1.

Step-by-Step Solution:

Step 1 ;

In this problem we have to prove that if the smallest prime factor of the positive integer is larger than then is prime or equal to 1.

Step 2 :

Consider Then in the problem given that if the smallest prime factor of the positive integer is larger than .

ie, Take cube on both side .’. Step 3 of 3

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Show that if the smallest prime factor p of the positive

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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.se - Problem 32e

Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.se - Problem 32e