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2. Dixon's factorization method - Wikipedia

   en.wikipedia.org/wiki/Dixon's_factorization_method

   Dixon's method replaces the condition "is the square of an integer" with the much weaker one "has only small prime factors"; for example, there are 292 squares smaller than 84923; 662 numbers smaller than 84923 whose prime factors are only 2,3,5 or 7; and 4767 whose prime factors are all less than 30.

3. Talk:Dixon's factorization method - Wikipedia

   en.wikipedia.org/wiki/Talk:Dixon's_factorization...

   n is the semi-prime which we are trying to factor x is one of many random numbers generated to try and find a p(x) which the prime factorization is contained in the factor base. for example if x=20 The prime factorization of 20 is: 2*2*5 If our factor base is [2,3,5] then p(x) factors completley or is "smooth" over our factor base.

4. Matrix decomposition - Wikipedia

   en.wikipedia.org/wiki/Matrix_decomposition

   In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions; each finds use among a particular class of problems.

5. Category:Integer factorization algorithms - Wikipedia

   en.wikipedia.org/wiki/Category:Integer...

   Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more

6. Continued fraction factorization - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction...

   The continued fraction method is based on Dixon's factorization method. It uses convergents in the regular continued fraction expansion of , +. Since this is a quadratic irrational, the continued fraction must be periodic (unless n is square, in which case the factorization is obvious).

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8. Factorization of polynomials over finite fields - Wikipedia

   en.wikipedia.org/wiki/Factorization_of...

   In mathematics and computer algebra the factorization of a polynomial consists of decomposing it into a product of irreducible factors.This decomposition is theoretically possible and is unique for polynomials with coefficients in any field, but rather strong restrictions on the field of the coefficients are needed to allow the computation of the factorization by means of an algorithm.

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