(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let p and q be distinct primes. Suppose that H is proper subset of the integers nd H is grou under addition that contains exactly three elements of the set {p,p+q,pq, p^q, q^p}. Determine which of the following are the three elements in H:

a) pq, p^q, q^p

b)p+q, pq,q^p

c) p, p+q,pq

d) p, p^q,q^p

e)p,pq, p^q

2. Relevant equations

no equations for this problem

3. The attempt at a solution

The back of my textbook says the answer is e, but I thought it would be c . I don't understand why the answer is e because if a group is under addition, the additive properties of the group should be p+q . the properties for a group under multiplication would be p*q.

a:

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# Homework Help: Distinct primes

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