Note 2023 is the last year that I will maintain this site--there is currently no plan to continue it after that.

François Morain

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):	M, WM, EM, FE3, FE1, FE4, p164, FE5, FE6, FE7, FE8, FE9, c91
E-mail address:	(e-mail address unpublished)
Web page:	http://www.lix.polytechnique.fr/~morain/
Username	Morain	(entry created on 1/18/2000 12:50:53 CDT)
Database id:	16	(entry last modified on 4/13/2018 12:09:33 CDT)
Active primes:	on current list: 5.0833 (unweighted total: 7), rank by number 175
Total primes:	number ever on any list: 53.6666 (unweighted total: 63)
Production score:	for current list 33 (normalized: 0), total 36.7056, rank by score 1061
Largest prime:	"τ(157²²⁰⁶)" ‏(‎26643 digits) via code FE1 on 4/3/2011
Most recent:	"τ(41²²⁹⁶)" ‏(‎20367 digits) via code c91 on 4/13/2018 14:19:15 CDT
Entrance Rank:	mean 17332.43 (minimum 838, maximum 41352)

Descriptive Data: (report abuse)

Franĉois Morain is an active researcher in the areas of computational number theory and cryptography. He found his titanic primes using his version of the ECPP algorithm (see also [AM93]). Morain holds the record for the largest known prime without a "special form."

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

I am François Morain and I would like to

(Reuse an old code if your are using the same programs, projects... Only create a new code if you are doing something differently than in the past. Duplicate codes will be merged.