If $x,y,z\in \mathbb {N}_0$ solve the equation \[2^x+3^y=z^2\]
(This problem is a simple joke if you use Zsigmondy's theorem.But there is another pretty solution using no advanced ideas.That's why I am posting it in secondary level.I also showed it to some persons in the main camp.)
Nice Equation
- Phlembac Adib Hasan
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- Nadim Ul Abrar
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- Phlembac Adib Hasan
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Re: Nice Equation
Good solution, Nadim vaia.Here is mine:
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- asif e elahi
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Re: Nice Equation
What is Zsigmondy's theorem?Phlembac Adib Hasan wrote:If $x,y,z\in \mathbb {N}_0$ solve the equation \[2^x+3^y=z^2\]
(This problem is a simple joke if you use Zsigmondy's theorem.But there is another pretty solution using no advanced ideas.That's why I am posting it in secondary level.I also showed it to some persons in the main camp.)
- Thanic Nur Samin
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Re: Nice Equation
You should google it.
Hammer with tact.
Because destroying everything mindlessly isn't cool enough.
Because destroying everything mindlessly isn't cool enough.