Recent Changes.

Factoring of Integers Rarely Asked Questions (RAQ)

Someday I really need to flesh out explanations of some of the methods, and fix up example code for more than the potential function methods. *sigh*

A code library exists that includes support routines and code for many of the methods.

Terminology used: (N, P, Q, S, R, A, B, C, D...)

• N = P*Q (P less than Q, P prime, and Q possibly prime)
• N = S*S + R (S is between P and Q, Usually the Integer Square Root)
• N = Y*Y - X*X
• N = (S-A)*(S+B)
• C = B-A
• C = 2 * D

Methods

• Division free
  • Potential Function Methods now have their own page.
  • Measurement of Phi(N) over shoot.
  Running time proportional to 2s-p-q
• Equivalent Functions now have their own page.
• Modular constraints now have their own page.
• Slope hunting.
  • Window based
• Square Root constraints.
  • X*X = D*D + 2*S*D - R (Halleck)
  • Y*Y = N + X*X (Fermat)

Go to ...

• John Halleck's home page

This page is: http://www.cc.utah.edu/~nahaj/factoring/
This page was last modified on November January 12th, 2009