Jean Penné's LLR


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.)

Proof-code(s): p132, p136, p146, p153, p182 ... ... g427, p377, CH8, p378, SB12
Active wild codes: ^L\d+
Code prefix:L
E-mail address: (e-mail address unpublished)
Web page:
Username: LLR (entry created on 12/27/02)
Database id:431 (entry last modified on 10/17/19)
Program Does *: special, plus, minus
Active primes:on current list: 4923, rank by number 1
Total primes: number ever on any list: 47956
Production score: for current list 55 (normalized: 82384), total 55.8455, rank by score 2
Largest prime: 10223 · 231172165 + 1 ‏(‎9383761 digits) via code SB12 on 11/06/16
Most recent: 5009522505 · 23321910 - 1 ‏(‎1000005 digits) via code L4960 on 09/28/21
Entrance Rank: mean 1868.42 (minimum 7, maximum 78740)
Unprocessed: prime submissions still untested or inprocess: 2.

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.)

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