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Problem 1

Part of 2024 Argentina IberoAmerican TST

Problems(1)

Diophantine equation with primes

Source: Argentina IberoAmerican TST 2024 P1

8/9/2024
Find all positive prime numbers pp, qq that satisfy the equation p(p4+p2+10q)=q(q2+3)p(p^4+p^2+10q)=q(q^2+3)
number theoryDiophantine equationprime numbers