5 citations · 9 across the 2 of their papers we have counts for
2 papers
math.NT2014★ 5 cited
A framework for deterministic primality proving using elliptic curves with complex multiplication
Alexander Abatzoglou, Alice Silverberg, Andrew V. Sutherland +1
We provide a framework for using elliptic curves with complex multiplication to determine the primality or compositeness of integers that lie in special sequences, in deterministic…
math.NT2012★ 4 cited
Deterministic elliptic curve primality proving for a special sequence of numbers
Alexander Abatzoglou, Alice Silverberg, Andrew V. Sutherland +1
We give a deterministic algorithm that very quickly proves the primality or compositeness of the integers N in a certain sequence, using an elliptic curve E/Q with complex multipli…