Where Is 1 From 2016?
Number Theory
Level
3
\[\large p,\; q,\; p+q,\; pq,\; p(p+q),\; q(p+q),\; p^q,\; q^p\]
Suppose \(p\) and \(q\) are two unordered prime numbers. From the above 8 listed numbers, exactly 4 are even numbers and one of them is 206.
Find the sum of all distinct value(s) of \(|p-q|\).
by
Nihar Mahajan