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2^a + 2^b + 2^c + 3 is perfect square

Source: 2022 Grand Duchy of Lithuania, MC p4 (Baltic Way TST) https://artofproblemsolving.com/community/c1321893_grand

November 17, 2022
number theoryPerfect SquaresPerfect Square

Problem Statement

Find all triples of natural numbers (a,b,c)(a, b, c) for which the number 2a+2b+2c+32^a + 2^b + 2^c + 3 is the square of an integer.
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