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: 5734108341 · 2333333 - 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L237 : Mikula, NewPGen, PrimeGrid, TPS, LLR Decimal Digits: 100353   (log10 is 100352.99001056) Rank (*): 44523 (digit rank is 11) Entrance Rank (*): 3373 Currently on list? (*): no Submitted: 5/5/2007 06:50:55 CDT Last modified: 5/5/2007 07:20:20 CDT Removed (*): 8/28/2007 21:45:53 CDT Database id: 80321 Status Flags: none Score (*): 39.5651 (normalized score 0.0098)

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 80321 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 5734108341 2 333333 -1 2>&1 [Elapsed time: 9.507 seconds] modified 2007-05-30 21:58:14 created 2007-05-05 06:52:01 id 89751

field value prime_id 80321 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/llr.pl 5734108341*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 5734108341*2^333333-1 V1 = 5 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 5734108341*2^333333-1 is prime! Time: 1244.273 sec. [Elapsed time: 1244 seconds] modified 2007-05-30 21:58:14 created 2007-05-05 06:53:01 id 89753