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Primality tests for 2^{𝑝}±2^{(𝑝+1)/2}+1 using elliptic curves
Author(s) -
Yu Tsumura
Publication year - 2011
Publication title -
proceedings of the american mathematical society
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-2011-10839-6
Subject(s) - algorithm , artificial intelligence , computer science
Using the properties of elliptic curves, we propose primality tests for integers of the form 2 p ± 2 ( p + 1 ) / 2 + 1 2^{p}\pm 2^{(p+1)/2}+1 , where p p is a prime number.

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