If \(p\) and \(q\) are positive integers such that \(pq\) has exactly \(4\) unique positive factors and \(p<q,\) what is

[Vincen]

If \(p\) and \(q\) are positive integers such that \(pq\) has exactly \(4\) unique positive factors and \(p<q,\) what is the value of the integer \(p?\)

(1) The sum of \(p\) and \(q\) is an odd integer.
(2) The difference between \(p\) and \(q\) is \(1.\)

Answer: B

Source: Manhattan GMAT