Diophantine Equations - Musharof Chy
Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein.
The Erdos-Strauss Conjecture
The page establishes that the conjecture is true for all integers. Tables and software by Allan Swe...
Thue Equations
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
Hilbert's Tenth Problem
Statement of the problem in several languages, history of the problem, bibliography and links to re...
Hilbert's Tenth Problem
Given a Diophantine equation with any number of unknowns and with rational integer coefficients: de...
Quadratic Diophantine Equation Solver
Dario Alpern's Java/JavaScript code that solves Diophantine equations of the form Ax^2 + Bxy + Cy^2...
Diophantine m-tuples
Sets with the property that the product of any two distinct elements is one less than a square. Not...
Rational Triangles
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian an...
Rational and Integral Points on Higher-dimensional Varieties
Some of conjectures and open problems, compiled at AIM.
Diagonal Quartic Surfaces
Articles, computations and software in Magma and GP by Martin Bright.
Linear Diophantine Equations
A web tool for solving Diophantine equations of the form ax + by = c.