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Indian Regional Mathematical Olympiad 2013 (problem 3)

Find all natural numbers \(x\),\(y\),\(z\) such that,

\[\large (2^{x}-1)(2^{y}-1) = 2^{2^{z}}+1\]

Note by Eddie The Head
2 years, 9 months ago

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\(z\) ? Andrea Gallese · 7 months ago

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@Andrea Gallese Thanks. I've edited \(z\) into where I believe it should be. Calvin Lin Staff · 6 months, 3 weeks ago

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@Andrea Gallese Oh yeah that shouldnt be there I solved it in X and Y Kaustubh Miglani · 7 months ago

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Take modulo 3 Arulx Z · 3 months, 1 week ago

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Thats Easy Kaustubh Miglani · 7 months ago

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