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

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

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

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

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## Comments

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TopNewest\(z\) ? – Andrea Gallese · 11 months, 1 week ago

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– Calvin Lin Staff · 11 months ago

Thanks. I've edited \(z\) into where I believe it should be.Log in to reply

– Kaustubh Miglani · 11 months, 1 week ago

Oh yeah that shouldnt be there I solved it in X and YLog in to reply

Take modulo 3 – Arulx Z · 7 months, 2 weeks ago

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Thats Easy – Kaustubh Miglani · 11 months, 1 week ago

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