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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Primality tests for $ 2^{p}\pm2^{(p+1)/2}+1$ using elliptic curves


Author: Yu Tsumura
Journal: Proc. Amer. Math. Soc. 139 (2011), 2697-2703
MSC (2010): Primary 11Y11; Secondary 14H52
Published electronically: January 14, 2011
MathSciNet review: 2801608
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Abstract: Using the properties of elliptic curves, we propose primality tests for integers of the form $ 2^{p}\pm2^{(p+1)/2}+1$, where $ p$ is a prime number.


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Additional Information

Yu Tsumura
Affiliation: Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, Indiana 47907-2067

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-10839-6
PII: S 0002-9939(2011)10839-6
Keywords: Elliptic curve, primality tests
Received by editor(s): January 12, 2010
Received by editor(s) in revised form: July 15, 2010, and August 3, 2010
Published electronically: January 14, 2011
Communicated by: Ken Ono
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.