A monte carlo method for factorization

@article{Pollard1975AMC,
  title={A monte carlo method for factorization},
  author={John M. Pollard},
  journal={BIT Numerical Mathematics},
  year={1975},
  volume={15},
  pages={331-334}
}
  • J. Pollard
  • Published 1 September 1975
  • Computer Science
  • BIT Numerical Mathematics
We describe briefly a novel factorization method involving probabilistic ideas. 
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References

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A number theory package is described which uses doubly linked list structures for storing multiprecise integers and an optimally coded trial division routine can be used to determine the unique factorization of large integers.
Theorems on factorization and primality testing
TLDR
This paper is concerned with the problem of obtaining theoretical estimates for the number of arithmetical operations required to factorize a large integer n or test it for primality, and uses a multi-tape Turing machine for this purpose.
A method of factoring and the factorization of
The continued fraction method for factoring integers, which was introduced by D. H. Lehmer and R. E. Powers, is discussed along with its computer implementation. The power of the method is…