Easy NT!

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If (p,q) satisfy the condition that p divides q 2 4 {q}^{2}-4 and q divides p 2 1 {p}^{2}-1 , then find the sum of all such primes.

Details

If the ordered pair of such primes are ( p 1 , q 1 ) , ( p 2 , q 2 ) , . . . . ( p n , q n ) ({p}_{1}, {q}_{1}), ({p}_{2},{q}_{2}),.... ({p}_{n}, {q}_{n}) , then give your answer as p 1 + q 1 + p 2 + q 2 + . . . . + p n + q n {p}_{1} + {q}_{1} + {p}_{2} + {q}_{2}+ .... +{p}_{n} + {q}_{n}


The answer is 13.

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