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: 8151728061 · 2125987 - 1 Verification status (*): Proven Official Comment: Twin (p) Proof-code(s): (*): p35 : Augustin, NewPGen, OpenPFGW Decimal Digits: 37936   (log10 is 37935.777313401) Rank (*): 56175 (digit rank is 2) Entrance Rank (*): 28848 Currently on list? (*): short Submitted: 5/8/2010 13:59:24 CDT Last modified: 5/8/2010 14:20:25 CDT Database id: 92613 Status Flags: none Score (*): 36.5647 (normalized score 0.0006)

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 20
Subcategory: "Twin (p)"
(archival tag id 210663, tag last modified 2017-07-04 19:20:06)

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 92613 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 8151728061 2 125987 -1 2>&1 [Elapsed time: 8.807 seconds] modified 2011-12-27 16:48:40 created 2010-05-08 14:05:02 id 114606

field value prime_id 92613 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/llr.pl 8151728061*2^125987-1 2>&1 Starting Lucas Lehmer Riesel prime test of 8151728061*2^125987-1 Using Zero Padded IBDWT : Mersenne fftlen = 6144, Used fftlen = 12288 V1 = 3 ; Computing U0... V1 = 3 ; Computing U0...done. Starting Lucas-Lehmer loop... 8151728061*2^125987-1 is prime! Time : 40.155 sec. [Elapsed time: 40.00 seconds] modified 2010-10-13 12:41:38 created 2010-05-08 14:08:01 id 114608