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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Elliptic curves and primality proving

Authors: A. O. L. Atkin and F. Morain
Journal: Math. Comp. 61 (1993), 29-68
MSC: Primary 11Y11; Secondary 11F11, 11G20, 11R37
MathSciNet review: 1199989
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Abstract: The aim of this paper is to describe the theory and implementation of the Elliptic Curve Primality Proving algorithm.

Problema, numeros primos a compositis dignoscendi, hosque in factores suos primos resolvendi, ad gravissima ac utilissima totius arithmeticae pertinere, et geometrarum tum veterum tum recentiorum industriam ac sagacitatem occupavisse, tam notum est, ut de hac re copiose loqui superfluum foret.

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Article copyright: © Copyright 1993 American Mathematical Society