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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p72, f1, f2, f3, f4 ... ... p379, L4142, L4506, L4561, p437
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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: 63, rank by number 5
Total primes: number ever on any list: 1428
Production score: for current list 54 (normalized: 14333), total 54.3935, rank by score 3
Largest prime: Phi(3, - 4658591048576) ‏(‎11887192 digits) via code L4561 on 5/31/2023 19:32:31 UTC
Most recent: Phi(3, 93606177147) ‏(‎1761304 digits) via code p437 on 11/29/2023 17:11:02 UTC
Entrance Rank: mean 483.59 (minimum 7, maximum 1284)
Unprocessed: prime submissions still untested or inprocess: 1.

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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

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