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Diophantine equations

Table of contents

Arithmetic problems of solid geometry

Heronian tetrahedron

Archimedes's cattle problem

Beal conjecture

Birch's theorem

Brahmagupta's problem

Brauer's theorem on forms

Bézout's identity

Catalan's conjecture

Chakravala method

Coin problem

Diophantine equation

Diophantine quintuple

Diophantine set

Diophantus II.VIII

Diophantus and Diophantine Equations

Effective results in number theory

Eisenstein triple

Equation xy = yx

Erdős–Moser equation

Erdős–Straus conjecture

Euler's sum of powers conjecture

Euler brick

Fermat's right triangle theorem

Fermat–Catalan conjecture

Goormaghtigh conjecture

Heegner's lemma

Hilbert's tenth problem

Jacobi–Madden equation

Lander, Parkin, and Selfridge conjecture

Legendre's equation

Lonely runner conjecture

Markov number

Mordell curve

Optic equation

Pell's equation

Proof by infinite descent

Prouhet–Tarry–Escott problem

Pythagorean quadruple

Pythagorean triple

Ramanujan–Nagell equation

Siegel's theorem on integral points

Sum of four cubes problem

Sums of three cubes

The monkey and the coconuts

Thue equation

Tijdeman's theorem

Tree of primitive Pythagorean triples

Tunnell's theorem

 Ancestors (4)

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