# A probabilistic factorization algorithm with quadratic forms of negative discriminant

```@article{Seysen1987APF,
title={A probabilistic factorization algorithm with quadratic forms of negative discriminant},
author={M. Seysen},
journal={Mathematics of Computation},
year={1987},
volume={48},
pages={757-780}
}```
• M. Seysen
• Published 1987
• Mathematics
• Mathematics of Computation
We propose a probabilistic algorithm for factorization of an integer N with run time (expVlog N log log N)V54 +?(1). Asymptotically, our algorithm will be as fast as the wellknown factorization algorithm of Morrison and Brillhart. The latter algorithm will fail in several cases and heuristic assumptions are needed for its run time analysis. Our new algorithm will be analyzed under the assumption of the Extended Riemann Hypothesis and it will be of Las Vegas type. On input N, the new algorithm… Expand
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