Engineering↗
Atkin-Morain Elliptic Curve Primality Proving
ECPP: using complex multiplication to construct curves of known order, avoiding point counting entirely.
Tag
primality proving
Every page in the KEVOS library tagged primality proving. 4 pages.
Engineering↗
Structure of the Jacobi Sum Primality Test
The overall design of the Jacobi sum primality test, its two phases, and where its complexity comes from.
Engineering↗
The Goldwasser-Kilian Primality Test
Primality proving by elliptic curves with known point counts, its recursive certificate, and the point-counting bottleneck.
Engineering↗
The Modern Primality Testing Landscape
The methods available for proving primality, their complexities, and which to use for a given size of candidate.
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