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 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

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