# Category:Diophantine equations

Here is a list of articles in the Diophantine equations category of the Computing portal that unifies foundations of mathematics and computations using computers. This category corresponds roughly to **MSC 11Dxx** *Diophantine equations*; see 11Dxx at MathSciNet and 11Dxx at zbMATH.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Diophantine equations"

The following 63 pages are in this category, out of 63 total.

### *

- Diophantine equation
*(computing)*

### A

- ABS methods
*(computing)* - Archimedes's cattle problem
*(computing)*

### B

- Beal conjecture
*(computing)* - Bézout's identity
*(computing)* - Bhaskara's lemma
*(computing)* - Birch's theorem
*(computing)* - Brahmagupta's problem
*(computing)* - Brauer's theorem on forms
*(computing)* - Brocard's problem
*(computing)* - Brown numbers
*(computing)*

### C

- Cannonball problem
*(computing)* - Catalan's conjecture
*(computing)* - Chakravala method
*(computing)* - Coin problem
*(computing)* - Congruum
*(computing)* - Cuboid conjectures
*(computing)*

### D

- Diophantine quintuple
*(computing)* - Diophantine set
*(computing)* - Diophantus and Diophantine Equations
*(computing)* - Diophantus II.VIII
*(computing)*

### E

- Effective results in number theory
*(computing)* - Eisenstein triple
*(computing)* - Equation xʸ = yˣ
*(computing)* - Equation xʸ=yˣ
*(computing)* - Erdős–Diophantine graph
*(computing)* - Erdős–Straus conjecture
*(computing)* - Erdős–Moser equation
*(computing)* - Euler brick
*(computing)* - Euler's sum of powers conjecture
*(computing)*

### F

- Fermat's right triangle theorem
*(computing)* - Fermat–Catalan conjecture
*(computing)*

### G

- Goormaghtigh conjecture
*(computing)*

### H

- Hasse principle
*(computing)* - Heegner's lemma
*(computing)* - Hilbert's tenth problem
*(computing)* - Hundred Fowls Problem
*(computing)*

### I

- Proof by infinite descent
*(computing)*

### J

- Jacobi–Madden equation
*(computing)*

### K

- Kaprekar number
*(computing)*

### L

- Lander, Parkin, and Selfridge conjecture
*(computing)* - Legendre's equation
*(computing)* - Lonely runner conjecture
*(computing)*

### M

- Markov number
*(computing)* - The monkey and the coconuts
*(computing)* - Mordell curve
*(computing)*

### N

- Norm form
*(computing)*

### O

- Optic equation
*(computing)*

### P

- Pell's equation
*(computing)* - Perfect digital invariant
*(computing)* - Prouhet–Tarry–Escott problem
*(computing)* - Pythagorean quadruple
*(computing)* - Pythagorean triple
*(computing)*

### R

- Ramanujan–Nagell equation
*(computing)*

### S

- Siegel identity
*(computing)* - Siegel's theorem on integral points
*(computing)* - List of sums of reciprocals
*(computing)* - Sums of three cubes
*(computing)*

### T

- Thue equation
*(computing)* - Tijdeman's theorem
*(computing)* - Tree of primitive Pythagorean triples
*(computing)* - Tunnell's theorem
*(computing)*

### V

- Vieta jumping
*(computing)*