Diophantine Equations (42)
Diagonal Quartic Surfaces
Articles, computations and software in Magma and GP by Martin Bright.
Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella.
On-line Pell Equation solver by Michael Zuker.
Lots of information about Egyptian fractions collected by David Eppstein.
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.
Linear Diophantine Equations
A web tool for solving Diophantine equations of the form ax + by = c.
Pythagorean Triples in JAVA
Quadratic Diophantine Equation Solver
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
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
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
Last Updated: 2007-01-17 12:42:27