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arXiv · 1307.7920

Counterexamples for Frobenius primality test

Sergey Khashin
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Abstract

At present one can not find a single counterexample to even a simplest version of Frobenius primality test. The assessment of probability of the mistake, presented in [I.B. Damgard and G.S.Frandsen, Journal of Cryptology, 2006] is strongly overestimated. In the present paper, the properties of simple divisors of FPP-numbers are proved. The lower bound for FPP are given.

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Sergey Khashin. 2013-07-30. Counterexamples for Frobenius primality test. https://arxiv.org/abs/1307.7920

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