3756801695685 · 2666669 + 1
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The hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. <caldwell@utm.edu>

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+2)
Proof-code(s): (*):L1921 : Winslow, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.94099758)
Rank (*):17024 (digit rank is 1)
Entrance Rank (*):5796
Currently on list? (*):short
Submitted:12/25/2011 23:50:43 CDT
Last modified:12/26/2011 00:20:43 CDT
Database id:103791
Status Flags:none
Score (*):41.699 (normalized score 0.1737)

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+2)"
(archival tag id 213761, tag last modified 2011-12-26 00:20:46)

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.
fieldvalue
prime_id103791
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3756801695685 2 666669 1 2>&1
[Elapsed time: 9.816 seconds]
modified2011-12-27 16:48:25
created2011-12-25 23:52:02
id137171

fieldvalue
prime_id103791
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"3756801695685*2^666669+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 3756801695685*2^666669+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 31
Calling Brillhart-Lehmer-Selfridge with factored part 99.99%
3756801695685*2^666669+1 is prime! (1541.6745s+0.0006s)
[Elapsed time: 25.70 minutes]
modified2011-12-27 16:48:25
created2011-12-25 23:53:01
id137173

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.