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arXiv · 0812.2596

Deterministic Primality Proving on Proth Numbers

Tsz-Wo Sze
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Abstract

We present an algorithm to decide the primality of Proth numbers, N=2^e t+1, without assuming any unproven hypothesis. The expected running time and the worst case running time of the algorithm are O ((t log t + log N)log N) and O ((t log t + log N) log^2 N) bit operations, respectively.

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Tsz-Wo Sze. 2011-07-04. Deterministic Primality Proving on Proth Numbers. https://arxiv.org/abs/0812.2596

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