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: 1679081223 · 2151618 - 1 Verification status (*): Proven Official Comment: Twin (p) Proof-code(s): (*): L527 : Tornberg, TwinGen, LLR Decimal Digits: 45651   (log10 is 45650.790954286) Rank (*): 43971 (digit rank is 2) Entrance Rank (*): 37546 Currently on list? (*): short Submitted: 2/21/2012 11:23:05 CDT Last modified: 2/21/2012 12:50:36 CDT Database id: 104892 Status Flags: none Score (*): 37.1362 (normalized score 0.0034)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.

Twin Primes (archivable *)

Prime on list: yes, rank 9
Subcategory: "Twin (p)"
(archival tag id 214058, tag last modified 2012-02-21 12:50:46)

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 104892 person_id 9 machine RedHat Virtual STEM Server what prime notes Command: /home/caldwell/client/llr.pl 1679081223*2^151618-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1679081223*2^151618-1 Using Zero Padded IBDWT : Mersenne fftlen = 8192, Used fftlen = 16384 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 1679081223*2^151618-1 is prime! Time : 35.601 sec. [Elapsed time: 64.00 seconds] modified 2012-07-16 11:33:02 created 2012-02-21 11:32:56 id 139371

field value prime_id 104892 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 1679081223 2 151618 -1 2>&1 [Elapsed time: 8.919 seconds] modified 2012-07-16 11:33:02 created 2012-02-21 11:35:10 id 139374