olymmath

BALTIC-WAY 1994 Problem 9

  • Answer

Find all pairs of positive integers (a,b)(a, b) such that 2a+3b2^{a}+3^{b} is the square of an integer.

Dataset text NuminaMath olympiads. Quoted with source.

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2^{4}+3^{2}=5^{2}

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