At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help) value Description: 3 · 23136255-1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L256 : Underwood, Srsieve, NewPGen, 321search, LLR Decimal Digits: 944108   (log10 is 944107.30617239) Rank (*): 30 (digit rank is 1) Entrance Rank (*): 12 Currently on list? (*): short Submitted: 3/8/2007 21:49:13 CDT Last modified: 3/9/2007 17:15:18 CDT Database id: 79671 Status Flags: none Score (*): 46.4565 (normalized score 343.7404)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.

field value prime_id 79671 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 3 2 3136255 -1 2>&1 [Elapsed time: 11.409 seconds] modified 2007-04-21 22:36:37 created 2007-03-08 21:52:02 id 88449

field value prime_id 79671 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 3*2^3136255-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3*2^3136255-1 V1 = 3 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 3*2^3136255-1 is prime! Time : 65367.129 sec. [Elapsed time: 65368 seconds] modified 2007-04-21 22:36:37 created 2007-03-08 23:05:50 id 88451