← Theoretical / proof-based

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In this program

Wilson's theorem
Order of elements modulo n
Chinese remainder theorem
Applications
Euler's totient function
Multiplicative functions
Quadratic residues and Legendre symbol
Law of quadratic reciprocity (introduction or proof sketch)

Classical theorems and functions

Quadratic residues and Legendre symbol

Number theory · Theoretical / proof-based

Topic

Quadratic residues and Legendre symbol

Practice by unit: Classical theorems and functions

Undergraduate Number Theory — scope drawn from open number theory texts (e.g. Stein / Burton-style OER) and typical US elementary number theory syllabi.

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