We have sets and ,
Set contains all natural numbers more than 1 that are divisible by some prime that satisfies .
Set contains all natural numbers more than 1 that are divisible by some prime that satisfies .
Define = set of integers greater than 1
Which of the following is true?
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Every integer greater than 1 is divisible by a prime - call this prime p . Since either p ∣ n or p ∣ n , N is the union of A n and B n .
Let p be a prime that divides n and q be a prime that doesn't divide n . The number p q is an element of both A n and B n , so the two sets are not disjoint.