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arXiv · 1609.05569

Improved error bounds for the Fermat primality test on random inputs

Jared D. Lichtman·Carl Pomerance
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Abstract

We investigate the probability that a random odd composite number passes a random Fermat primality test, improving on earlier estimates in moderate ranges. For example, with random numbers to $2^{200}$, our results improve on prior estimates by close to 3 orders of magnitude.

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Jared D. Lichtman, Carl Pomerance. 2016-09-19. Improved error bounds for the Fermat primality test on random inputs. https://doi.org/10.1090/mcom/3314

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