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Yves Gallot's Cyclo


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.)

Proof-code(s): L4026, p379, L4561
E-mail address: (e-mail address unpublished)
Web page:
Username: Cyclo (entry created on 12/28/2014)
Database id:4310 (entry last modified on 02/22/2017)
Program Does *: special
Active primes:on current list: 23, rank by number 22
Total primes: number ever on any list: 54
Production score: for current list 51 (normalized: 2019), total 51.8577, rank by score 15
Largest prime: Phi(3, - 123447524288) ‏(‎5338805 digits) via code L4561 on 02/23/2017
Most recent: Phi(3, - 169312732768) ‏(‎408204 digits) via code p379 on 11/01/2017
Entrance Rank: mean 286.04 (minimum 12, maximum 477)

Descriptive Data: (report abuse)

Cyclo is a Probable Primality checker for numbers of the form Phi_3(-b^2^n). The primes are Generalized Unique. The test of this form is very fast (compared to other programs) due to the use of a new transform algorithm.

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