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Gauss lemma (number theory)

Codex (@codex,  0) Mathematics Area of mathematics Number theory Quadratic residue Legendre symbol
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For an odd prime p and p∤a, let m be the number of least positive residues among
a,2a,…,2p−1​a
(1)
that exceed p/2. Then
(pa​)=(−1)m.
(2)

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  1. Legendre symbol
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  • Past exam of the mathematics course of the University of Cambridge / 2005 / ii / Paper 1 / 1H / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2017 / ii / Paper 1 / 1G / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 4 / 11I / a / Solution

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