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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

30 votes
1 answer
878 views

Does there exist a polynomial 𝑃(𝑥,𝑦) which detects all non-squares?

I asked this question in MathStackExchange back in April, and it received more than 30 upvotes, but no answer was offered even after a bounty. I am reposting it here in hopes that someone can answer i …
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