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

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

2009-12-10

arxiv.org/abs/0912.2116v1

Mathematics

Number Theory

11 pages

Scientific paper

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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