Jean Penné's LLR
(Another of the Prime Pages' resources)
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Chris K. Caldwell <>

program 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): p132, p136, p146, p153, p182 ... ... p266, p297, p296, p339, p294
Active wild codes: ^L\d+
Code prefix:L
E-mail address: (e-mail address unpublished)
Web page:
Username: LLR (entry created on 12/27/2002)
Database id:431 (entry last modified on 08/30/2014)
Program Does *: special, plus, minus
Active primes:on current list: 4860, rank by number 1
Total primes: number ever on any list: 38425
Production score: for current list 53 (normalized: 18738), total 53.5818, rank by score 2
Largest prime: 3 · 210829346 + 1 ‏(‎3259959 digits) via code L3770 on 01/17/2014
Most recent: 2013 · 21209020 - 1 ‏(‎363955 digits) via code L3345 on 09/02/2014
Entrance Rank: mean 1948.50 (minimum 8, maximum 75119)

Descriptive Data: (report abuse)
LLR takes an input file from Paul Jobling's NewPgen, and proves the primality of numbers of the form k.2n+ 1 with k < 2n. It implements the Lucas-Lehmer-Riesel and Proth algorithms, using George Woltman's gwnums and assembly code routines for fast multiplications and squarings.

(Get for Windows, or for Intel/Linux, where xx is the version number.)

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