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Math 261 Number Theory Cheatsheet

Overview

This is a comprehensive 6-page cheat sheet for MATH 261 (Elementary Number Theory) at the American University of Beirut, covering key topics including divisibility, modular arithmetic, quadratic residues, sums of two squares, and groups. It provides formulas, proof templates, methods, and common traps organized for quick reference during exams.

Compiling

If you want to generate the PDF from the LaTeX source:

pdflatex number_theory_cheatsheet_6pages.tex

If using latexmk for automatic build management:

latexmk -pdf number_theory_cheatsheet_6pages.tex

The output PDF will be number_theory_cheatsheet_6pages.pdf.

About

A six-page cheat sheet spanning the topics: divisibility and GCD, congruences, CRT, Hensel's lemma, quadratic reciprocity, the Legendre symbol, the Jacobi symbol, Gauss's lemma, sums of two and four squares, Gaussian integers, quaternions, groups, primitive roots, continued fractions, and the Pell equation.

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