Prime Internet Eisenstein Search

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.)

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Proof-code(s):	p72, f1, f2, f3, f4 ... ... p379, L4142, L4506, L4561, p437
E-mail address:	(e-mail address unpublished)
Web page:	http://fatphil.org/maths/PIES/
Username	PIES	(entry created on 9/5/2003 19:32:50 UTC)
Database id:	541	(entry last modified on 11/17/2023 21:08:43 UTC)
Active primes:	on current list: 47, rank by number 6
Total primes:	number ever on any list: 1431
Production score:	for current list 55 (normalized: 19616), total 55.0134, rank by score 3
Largest prime:	516693^2097152 - 516693^1048576 + 1 ‏(‎11981518 digits) via code L4561 on 10/2/2023 00:29:30 UTC
Most recent:	1 - V( - 2, - 2, 3074821) - 2^3074821 ‏(‎1342125 digits) via code p437 on 10/30/2024 18:23:07 UTC
Entrance Rank:	mean 300.32 (minimum 7, maximum 3985)

Descriptive Data: (report abuse)

A search for Generalised Eisenstein Fermat numbers, numbers of form Phi(2^s*3^t,b). These are to the Eisenstein integers Z(ω) what Generalised Fermat Numbers are to the Rational and Gaussian Integers.

Featuring an entirely new sieve, and an entirely new proving algorithm. See the project web-page for more details.

I found a prime as a member of this group and I would like to

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Create a New Proof-Code Remember that all unused codes will be deleted after 24 hours, so do not create a proof-code until you need it.

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

I administer Prime Internet Eisenstein Search and I would like to