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: 131265 · 2689224 - 1 Verification status (*): Proven Official Comment: Proof-code(s): (*): L2317 : Dausch, Srsieve, LLR Decimal Digits: 207483   (log10 is 207482.21588045) Rank (*): 12100 (digit rank is 2) Entrance Rank (*): 2805 Currently on list? (*): no Submitted: 4/26/2011 10:57:52 CDT Last modified: 4/26/2011 11:50:23 CDT Removed (*): 1/17/2012 18:03:15 CDT Database id: 99854 Status Flags: none Score (*): 41.8013 (normalized score 0.3618)

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 99854 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 131265 2 689224 -1 2>&1 [Elapsed time: 9.611 seconds] modified 2011-12-27 16:48:33 created 2011-04-26 11:05:01 id 129234

field value prime_id 99854 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/llr.pl 131265*2^689224-1 2>&1 Starting Lucas Lehmer Riesel prime test of 131265*2^689224-1 Using Irrational Base DWT : Mersenne fftlen = 40960, Used fftlen = 65536 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 131265*2^689224-1 is prime! Time : 1215.797 sec. [Elapsed time: 20.27 minutes] modified 2011-05-17 08:18:57 created 2011-04-26 11:08:01 id 129235