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Number theory

This site features:

  1. Generic Two integer variable equation solver: Diophantine equation ax2 + bxy + cy2 + dx + ey + f = 0 solver, where the unknowns x and y can be integer numbers only. Written in Java/JavaScript. Last updated on January 18th, 2001.

  2. Quadratic modular equation solver: Calculator that can solve equations of the form ax2 + bx + c = 0 (mod n).

  3. Sum of powers: Table of relations of the form ap + bq = cr with gcd(a,b,c) = 1.

  4. Ulam's Spiral: Java applet featuring a graphical view of prime numbers. Last updated on November 10th, 2000.

  5. Factorization using the Elliptic Curve Method: Applet capable of factoring numbers up to 100 digits long. Last updated on March 26th, 2001.