3756801695685 · 2666669 - 1
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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:3756801695685 · 2666669 - 1
Verification status (*):Proven
Official Comment:Twin (p)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1921 : Winslow, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.94099758)
Rank (*):16763 (digit rank is 2)
Entrance Rank (*):5797
Currently on list? (*):short
Submitted:12/25/2011 23:50:43 CDT
Last modified:12/26/2011 00:20:43 CDT
Database id:103792
Status Flags:none
Score (*):41.699 (normalized score 0.1808)

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 1
Subcategory: "Twin (p)"
(archival tag id 213762, tag last modified 2011-12-26 00:20:46)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

PrimeGrid writes (17 Apr 2012): 
For more information, please see the Official Announcement.

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.
fieldvalue
prime_id103792
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3756801695685 2 666669 -1 2>&1
[Elapsed time: 9.953 seconds]
modified2011-12-27 16:48:25
created2011-12-25 23:52:12
id137172

fieldvalue
prime_id103792
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/llr.pl 3756801695685*2^666669-1 2>&1
Starting Lucas Lehmer Riesel prime test of 3756801695685*2^666669-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 81920
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop...


3756801695685*2^666669-1 is prime! Time : 938.422 sec.
[Elapsed time: 15.83 minutes]
modified2011-12-27 16:48:25
created2011-12-25 23:58:55
id137174

Query times: 0.0005 seconds to select prime, 0.0001 seconds to seek comments.