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21-08-2018
Mathematics

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Why does every perfect square no have a moduluar remainder of 2?

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21-08-2018

Is this the claim for all x, n, it's never the case that

[tex] x^2 \equiv 2 \pmod{n}[/tex]

That can't be true, e.g. we know

[tex]3^2 \equiv 2 \pmod{7}[/tex]

Try asking again, being more clear about what you're trying to prove.

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