Prime Internet Eisenstein Search
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
project 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 reflect on the primes currently on the list. (Many of the terms that are used here are explained on another page.)
User supplied image--mail editor to report abuse.

p72, f1, f2, f3, f4 ... ... p184, f23, p294, L4026, p379
E-mail address: (e-mail address unpublished)
Web page:
Username: PIES (entry created on 09/05/2003)
Database id:541 (entry last modified on 01/27/2015)
Active primes:on current list: 9, rank by number 11
Total primes: number ever on any list: 1317
Production score: for current list 46 (normalized: 17), total 47.4913, rank by score 17
Largest prime: Phi(3, - 1615978732) ‏(‎662674 digits) via code p294 on 09/03/2014
Most recent: Phi(3, - 57098632768) ‏(‎377267 digits) via code p379 on 01/25/2015
Entrance Rank: mean 5341.56 (minimum 285, maximum 8854)

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

I administer Prime Internet Eisenstein Search and I would like to
Edit this page
Surname: PIES (used for alphabetizing and in codes)
Unverified primes are omitted from counts and lists until verification completed.