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MathNet 2014 Question 48

Math Olympiad Vault · MathNet 2014

Question 48

Give all integer solutions of the equation:
$$
3^{2a+1} b^2 + 1 = 2^c.
$$

Macedonian source version, translated in full:

Give all integer solutions of the equation:
$$
3^{2a+1} b^2 + 1 = 2^c.
$$