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arxiv: 1609.05569 · v2 · pith:NXR2AW53new · submitted 2016-09-19 · 🧮 math.NT

Improved error bounds for the Fermat primality test on random inputs

classification 🧮 math.NT
keywords randomestimatesfermatprimalitytestboundsclosecomposite
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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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