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Indian Regional Mathematical Olympiad 2013 (problem 3)

Find all natural numbers $$x$$,$$y$$,$$z$$ such that,

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

2 years, 11 months ago

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$$z$$ ? · 9 months, 1 week ago

Thanks. I've edited $$z$$ into where I believe it should be. Staff · 9 months ago

Oh yeah that shouldnt be there I solved it in X and Y · 9 months, 1 week ago

Take modulo 3 · 5 months, 2 weeks ago