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3a^2b+16ab^2 is perfect square for primes a,b >0

Source: 2020 Greek JBMO TST p3

November 14, 2020
number theoryPerfect Square

Problem Statement

Find all pairs (a,b)(a,b) of prime positive integers a,ba,b such that number A=3a2b+16ab2A=3a^2b+16ab^2 equals to a square of an integer.
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