Search The Directory The Web for Home > Science > Math > Number Theory > Diophantine_Equations New! Submit a site   Categories: Equal Sums of Like Powers (13) Fermat's Last Theorem (17)     whatUseek Collection Sites (submit a site ):   Give your site great placement in this category in as little as two business days!     whatUseek Directory Site Listings:   1, 3, 8, 120, ... - Sets of numbers such that the product of any two is one less than a square. Diophantus found the rational set 1/16, 33/16, 17/4, 105/16: Fermat the integer set 1, 3, 8, 120.   Bibliography on Hilbert's Tenth Problem - Searchable, ~400 items.   Developing A General 2nd Degree Diophantine Equation x^2 + p = 2^n - Methods to solve these equations.   Diophantine Equations - Dave Rusin's guide to Diophantine equations.   Diophantine Geometry in Characteristic p - A survey by José Felipe Voloch.   Egyptian Fractions - Lots of information about Egyptian fractions collected by David Eppstein.   Fermat's Method of Infinite Descent - Notes by Jamie Bailey and Brian Oberg. Illustrates the method on FLT with exponent 4.   Hilbert's Tenth Problem - Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.   Hilbert's Tenth Problem - Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.   Keith Numbers - A recreational mathematics problem related to recurrent sequences and Diophantine equations.   Linear Diophantine Equations - A web tool for solving Diophantine equations of the form ax + by = c.   Links on Diophantine m-tuples - Sets of rational numbers such that the product of any two is one less than a square. Maintained by Andrej Dujella, Zagreb.   Lower Bounds for Solving Linear Diophantine Equations on Random Access Machines - Abstract: a lower bound for the complexity of solving linear Diophantine equations such as knapsack problems on an idealised computer.   On the Psixyology of Diophantine Equations - PhD thesis, Pieter Moree, Leiden, 1993.   Pythagorean Triples in JAVA - A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.   Pythagorean Triplets - A Javascript calculator for pythagorean triplets.   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.   Rational Triangles - Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.   Solving General Pell Equations - John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 = N.   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.     [ 1 2 ] Help build the largest human-edited directory on the web.   Submit a Site - Open Directory Project - Become an Editor

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