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,

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

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewest\(z\) ? – Andrea Gallese · 1 year, 3 months ago

Log in to reply

– Calvin Lin Staff · 1 year, 2 months ago

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

– Kaustubh Miglani · 1 year, 3 months ago

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

Take modulo 3 – Arulx Z · 11 months, 2 weeks ago

Log in to reply

Thats Easy – Kaustubh Miglani · 1 year, 3 months ago

Log in to reply