# Concept derivation guides

299 concept teaching guides, separate from the 36,000 individual question derivations.

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Concept guide



## [Two independent routes for Euler's criterion](/en/derivations/derivation-mko-euler-criterion-quadratic-residue-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-euler-criterion-quadratic-residue)

For p=7,a=-4 the Legendre value is -1 and a^3=6=-1 mod 7; 2 gives +1.

Euler criterion for quadratic residues

derivation-mko-euler-criterion-quadratic-residue-01





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