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The Erdos-Strauss Conjecture
The conjecture states that for any integer n > 1 there are integers a, b, and c with 4/n = 1/a + 1/b + 1/c, a > 0, b > 0, c > 0. The page establishes that the conjecture is true for all integers n, 1 < n <= 10^14. Tables and software by Allan Swett.
Linear Diophantine Equations
A web tool for solving Diophantine equations of the form ax + by = c.
Quadratic Diophantine Equation Solver
Dario Alpern's Java/JavaScript code that solves Diophantine equations of the form Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 in two selectable modes: "solution only" and "step by step" (or "teach") mode. There is also a link to his description of the solving methods.
Egyptian Fractions
Lots of information about Egyptian fractions collected by David Eppstein.
Diophantus Quadraticus
On-line Pell Equation solver by Michael Zuker.
On the Psixyology of Diophantine Equations
PhD thesis, Pieter Moree, Leiden, 1993.
Solving General Pell Equations
John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 = N.
Hilbert's Tenth Problem
Given a Diophantine equation with any number of unknowns and with rational integer coefficients: devise a process, which could determine by a finite number of operations whether the equation is solvable in rational integers.
Diophantine Equations
Dave Rusin's guide to Diophantine equations.
Thue Equations
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
More Diophantine Equations Sites
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