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Theorems in number theory

Table of contents

Lemmas in number theory

Euclid's lemma

Lifting-the-exponent lemma

15 and 290 theorems

Baker's theorem

Behrend's theorem

Carmichael's theorem

Davenport–Erdős theorem

Davenport–Schmidt theorem

Dirichlet's approximation theorem

Eisenstein's theorem

Euclid–Euler theorem

Faltings's theorem

Fermat's Last Theorem

Fermat's Last Tango

Fermat's Last Theorem in fiction

Proof of Fermat's Last Theorem

Proof of Fermat's Last Theorem for specific exponents

Wiles's proof of Fermat's Last Theorem

Gelfond–Schneider theorem

Hurwitz's theorem (number theory)

Kaplansky's theorem on quadratic forms

Kummer's theorem

Lochs's theorem

Mahler's compactness theorem

Meyer's theorem

Modularity theorem

Nagell–Lutz theorem

Proizvolov's identity

Ramanujan's congruences

Ribet's theorem

Romanov's theorem

Roth's theorem on arithmetic progressions

Serre's modularity conjecture

Six exponentials theorem

Skolem–Mahler–Lech theorem

Sophie Germain's theorem

Subspace theorem

Turán–Kubilius inequality

Von Staudt–Clausen theorem

Zeckendorf's theorem

Zsigmondy's theorem

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