On the existence and non-existence of elliptic pseudoprimes
نویسندگان
چکیده
منابع مشابه
On the existence and non-existence of elliptic pseudoprimes
In a series of papers, D. Gordon and C. Pomerance demonstrated that pseudoprimes on elliptic curves behave in many ways very similar to pseudoprimes related to Lucas sequences. In this paper we give an answer to a challenge that was posted by D. Gordon in 1989. The challenge was to either prove that a certain composite N ≡ 1 mod 4 did not exist, or to explicitly calculate such a number. In this...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2009
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-09-02275-3