Primality tests for Fermat numbers and 2^(2k+1)\pm2^(k+1)+1

Yu Tsumura

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arXiv · 0912.2116

Primality tests for Fermat numbers and 2^(2k+1)\pm2^(k+1)+1

Yu Tsumura

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Abstract

Robert Denomme and Gordan Savin made a primality test for Fermat numbers 2^(2^k)+1 using elliptic curves. We propose another primality test using elliptic curves for Fermat numbers and also give primality tests for integers of the form 2^(2k+1)\pm2^(k+1)+1.

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Yu Tsumura. 2009-12-10. Primality tests for Fermat numbers and 2^(2k+1)\pm2^(k+1)+1. https://arxiv.org/abs/0912.2116

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