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• Cunningham project
  ...hich are derived from a lower exponent. The second type is [[aurifeuillian factor]], in which the whole number can be split into two parts directly, for cert ==Algebraic factorizations==
  7 KB (1,150 words) - 23:48, 19 April 2023
• Conjectures 'R Us
  ...are covered by algebraic factors or a combination of algebraic and trivial factor(s), or make [[Generalized Fermat number]]'s.
  3 KB (503 words) - 02:20, 1 May 2024
• Elliptic curve method
  ...]] known, among those whose complexity depends mainly on the size of the [[factor]] found. where p is the smallest factor.
  19 KB (3,181 words) - 22:27, 6 July 2023
• GIMPS factoring and sieving
  ...ucas-Lehmer Test is unnecessary. It often takes much less effort to find a factor than to do the Lucas-Lehmer Test; in fact, over 60% of [[Mersenne number]]s ...n that any factor of the Mersenne number <math>2^p-1</math> must be of the algebraic form <math>2kp+1</math> for some positive integer <math>k</math> and furthe
  6 KB (962 words) - 10:08, 7 March 2019
• SNFS polynomial selection
  ...umber to be factored. Typically one polynomial is of degree 4, 5 or 6 (the algebraic side) and the other one is linear (the rational side). #Dividing out algebraic factors
  7 KB (1,238 words) - 16:14, 12 February 2019