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Sponsored Links:
Linear Diophantine Equations (Popularity:  )
http://www.thoralf.uwaterloo.ca/htdocs/linear.html
A web tool for solving Diophantine equations of the form ax + by = c.
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Quadratic Diophantine Equation Solver (Popularity: )
http://www.alpertron.com.ar/QUAD.HTM
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 ...
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Solving General Pell Equations (Popularity: )
http://www.jpr2718.org/
John Robertson's treatise on how to solve Diophantine equations of the form x^2 - dy^2 = N.
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Pythagorean Triples in JAVA (Popularity: )
http://home.foni.net/~heinzbecker/pythagoras.html
A JavaScript applet which reads a and gives integer solutions of a^2+b^2 = c^2.
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NOVA Online | The Proof (Popularity: )
http://www.pbs.org/wgbh/nova/proof/
NOVA Online presents The Proof, including an interview with Andrew Wiles, an essay on Sophie Germain, and the Pythagorean theorem.
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The Erdos-Strauss Conjecture (Popularity: )
http://math.uindy.edu/swett/esc.htm
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 > ...
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Egyptian Fractions (Popularity: )
http://www.ics.uci.edu/~eppstein/numth/egypt/
Lots of information about Egyptian fractions collected by David Eppstein.
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Pythagorean Triplets (Popularity: )
http://www.faust.fr.bw.schule.de/mhb/pythagen.htm
A Javascript calculator for pythagorean triplets.
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Diophantine m-tuples (Popularity: )
http://www.math.hr/~duje/dtuples.html
Sets with the property that the product of any two distinct elements is one less than a square. Notes and bibliography by Andrej Dujella.
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Hilbert's Tenth Problem (Popularity: )
http://logic.pdmi.ras.ru/Hilbert10/
Statement of the problem in several languages, history of the problem, bibliography and links to related WWW sites.
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Beal Conjecture (Popularity: )
http://www.bealconjecture.com
The official Beal Conjecture site with information and links regarding the problem.
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Hilbert's Tenth Problem (Popularity: )
http://www.ltn.lv/~podnieks/gt4.html
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 ...
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Beal's Conjecture: A Search for Counterexamples (Popularity: )
http://www.norvig.com/beal.html
Results of a computer search by Peter Norvig.
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Thue Equations (Popularity: )
http://finanz.math.tu-graz.ac.at/~cheub/thue.html
Definition of the problem and a list of special cases that have been solved, by Clemens Heuberger.
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Bibliography on Hilbert's Tenth Problem (Popularity: )
http://liinwww.ira.uka.de/bibliography/Math/Hilbert10.html
Searchable, ~400 items.
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Diophantine Geometry in Characteristic p (Popularity: )
http://www.ma.utexas.edu/users/voloch/surveylatex/surveylatex.html
A survey by José Felipe Voloch.
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Computing Minimal Equal Sums Of Like Powers (Popularity: )
http://euler.free.fr/
Jean-Charles Meyrignac's distributed-computing project on equal sums of like powers and the place to look for the current status of the problem.
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Rational Triangles (Popularity: )
http://grail.cba.csuohio.edu/~somos/rattri.html
Triangles in the Euclidean plane such that all three sides are rational. With tables of Heronian and Pythagorean triples.
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Proof of Fermat's Last Theorem (Popularity: )
http://www.coolissues.com/mathematics/fermat.htm
An attempted elementary proof of FLT using binomial expansions.
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Tom's Mathematical Things (Popularity: )
http://tom.womack.net/maths/dissert_abstract.htm
Dissertation about equal sums of like powers by Tom Womack.
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