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edited Dec 11, 2017 at 12:11

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Is the prime number $p$ representable in the form $x^2+ny^2$?

Let $p$ be a prime number such that $p\equiv 1 \pmod 9$. My question is the following:

Is the prime number $p$ representable in the form $x^2+ny^2$?

for some integer $n$ which doesn't depend on $p$.

ag.algebraic-geometry nt.number-theory prime-numbers

asked Dec 11, 2017 at 12:01

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