Is there a proof of the Quadratic Reciprocity Law by contradiction $$\exists x\in\Bbb{N}\quad x^2\equiv p\pmod q\iff\exists y\in\Bbb{N}\quad y^2\equiv q\pmod p$$ if $p\equiv q\equiv 1\pmod4$?
2026-03-25 23:52:18.1774482738
Is there a proof of quadratic reciprocity law by contradiction?
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