Prime, Prime, and Prime

Number Theory Level 3

p,q,p, q, and (pq+qp)(p^q+q^p) are all prime numbers. What is the largest possible sum of the three numbers: p+q+(pq+qp)?p+q+(p^q+q^p) ?

Áron Bán-Szabó by Áron Bán-Szabó
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