FastECPP as Implemented by Morain; Franke, Kleinjung and Wirth

A titan, as defined by Samuel Yates, is anyone who has found a titanic prime. This page provides data on those that have found these primes. The data below only reflects on the primes currently on the list. (Many of the terms that are used here are explained on another page.)

Proof-code(s):	FE2, FE3, FE1, FE4, FE5, FE6, FE7, FE8, FE9
Code prefix:	FE
E-mail address:	(e-mail address unpublished)
Web page:	http://www.lix.polytechnique.fr/~morain/
Username	FastECPP	(entry created on 9/28/2004 11:40:40 CDT)
Database id:	689	(entry last modified on 6/4/2020 12:20:25 CDT)
Program Does *:	general
Active primes:	on current list: 3, rank by number 30
Total primes:	number ever on any list: 24
Production score:	for current list 35 (normalized: 0), total 36.6819, rank by score 29
Largest prime:	"τ(157²²⁰⁶)" ‏(‎26643 digits) via code FE1 on 4/3/2011
Most recent:	"τ(157²²⁰⁶)" ‏(‎26643 digits) via code FE1 on 4/3/2011
Entrance Rank:	mean 40848.67 (minimum 40519, maximum 41352)

Descriptive Data: (report abuse)

Fast ECPP is a version of the Elliptic Curve Primality Proving Algortihm using square-root tests for many discriminants originally proposed by J. 0. Shallit [LL90].

In particular this entry is to credit the different implementations of FastECPP by François Morain [Morain2004] and the team of Franke, Kleinjung and Wirth [FKWM2004]. These teams often work together on a single prime, sharing the intermediate certificates.

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Surname: FastECPP (used for alphabetizing and in codes)
Unverified primes are omitted from counts and lists until verification completed.

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