2003663613 · 2195000 - 1
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Chris K. Caldwell <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:2003663613 · 2195000 - 1
Verification status (*):Proven
Official Comment:Twin (p)
Proof-code(s): (*):L202 : Vautier, McKibbon, Gribenko, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:58711   (log10 is 58710.150979288)
Rank (*):43377 (digit rank is 3)
Entrance Rank (*):9069
Currently on list? (*):short
Submitted:1/18/2007 10:06:57 CDT
Last modified:1/18/2007 13:50:03 CDT
Database id:79210
Status Flags:none
Score (*):37.9125 (normalized score 0.0039)

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 3
Subcategory: "Twin (p)"
(archival tag id 188989, 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_id79210
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 2003663613 2 195000 -1 2>&1
[Elapsed time: 9.277 seconds]
modified2007-03-03 21:00:42
created2007-01-18 10:22:30
id87519

fieldvalue
prime_id79210
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 2003663613*2^195000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 2003663613*2^195000-1
V1 = 3 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
2003663613*2^195000-1 is prime! Time : 141.997 sec.
[Elapsed time: 142 seconds]
modified2007-03-03 21:00:42
created2007-01-18 11:22:51
id87524

Query times: 0.0005 seconds to select prime, 0.0004 seconds to seek comments.