15295563945 · 2333333 - 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:15295563945 · 2333333 - 1
Verification status (*):Proven
Official Comment:Arithmetic progression (2,d=3371818539*2^333335) [g282]
Proof-code(s): (*):L271 : Klahn, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.41611016)
Rank (*):43566 (digit rank is 1876)
Entrance Rank (*):3568
Currently on list? (*):no
Submitted:6/25/2007 15:27:13 CDT
Last modified:1/4/2008 08:40:48 CDT
Removed (*):11/12/2007 03:24:22 CDT
Database id:81292
Status Flags:none
Score (*):39.5651 (normalized score 0.01)

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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 24
Subcategory: "Arithmetic progression (2,d=*)"
(archival tag id 188196, tag last modified 2017-02-04 23:20:03)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 15295563945 2 333333 -1 2>&1
[Elapsed time: 9.336 seconds]
modified2007-09-12 06:50:18
created2007-06-25 15:52:02

machineRedHat P4 P4
notesCommand: /home/caldwell/client/llr.pl 15295563945*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 15295563945*2^333333-1
V1 = 9 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
15295563945*2^333333-1 is prime! Time: 1255.335 sec.
[Elapsed time: 1255 seconds]
modified2007-09-12 06:50:18
created2007-06-25 17:28:19

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