Find all integers $x$ such that $2^p + 3^p = x^2$ where $p$ an arbitrary prime number.
I think that this equation has no solution.
Thank all for help!
Find all integers $x$ such that $2^p + 3^p = x^2$ where $p$ an arbitrary prime number.
I think that this equation has no solution.
Thank all for help!
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There's no solution. Consider reduction modulo 3.