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Elliptic pseudoprime : ウィキペディア英語版
Elliptic pseudoprime
In number theory, a pseudoprime is called an elliptic pseudoprime for (''E'', ''P''), where ''E'' is an elliptic curve defined over the field of rational numbers with complex multiplication by an order in \mathbb \big(\sqrt \big), having equation ''y''2 = ''x''3 + ''ax'' + ''b'' with ''a'', ''b'' integers, ''P'' being a point on ''E'' and ''n'' a natural number such that the Jacobi symbol (−''d'' | ''n'') = −1, if .
The number of elliptic pseudoprimes less than ''X'' is bounded above, for large ''X'', by
: X / \exp((1/3)\log X \log\log\log X /\log\log X) \ .
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Elliptic pseudoprime」の詳細全文を読む



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