Question 27
Let $p$ be a prime number and let $A$ be a set of positive integers that satisfies the following conditions:
(i) the set of prime divisors of the elements in A consists of p-1 elements;
(ii) for any nonempty subset of A, the product of its elements is not a perfect p-th power.
What is the largest possible number of elements in $A$?
(i) the set of prime divisors of the elements in A consists of p-1 elements;
(ii) for any nonempty subset of A, the product of its elements is not a perfect p-th power.
What is the largest possible number of elements in $A$?