21514 · 48688484017560 · 133579779967573 · 383159376767784 · 960310896529769 + 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:21514 · 48688484017560 · 133579779967573 · 383159376767784 · 960310896529769 + 1
Verification status (*):Proven
Official Comment:Sophie Germain (p)
Proof-code(s): (*):p360 : Kinne, Exoo, OpenPFGW
Decimal Digits:31112   (log10 is 31111.611762568)
Rank (*):59413 (digit rank is 2)
Entrance Rank (*):51095
Currently on list? (*):no
Submitted:10/21/2013 07:52:39 CDT
Last modified:10/21/2013 18:04:00 CDT
Database id:116042
Status Flags:TrialDiv
Score (*):35.9521 (normalized score 0.0003)

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.
Sophie Germain (p) (archivable *)
Prime on list: no, rank 23
Subcategory: "Sophie Germain (p)"
(archival tag id 217342, tag last modified 2018-01-15 16:20:14)

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 Virtual STEM Server
notesCommand: /home/caldwell/client/pfgw -t -hhelper -q"2^1514*48688484017^560*133579779967^573*383159376767^784*960310896529^769+1" 2>&1
PFGW Version [GWNUM 25.14]
Primality testing 2^1514*48688484017^560*133579779967^573*383159376767^784*960310896529^769+1 [N-1, Brillhart-Lehmer-Selfridge]
Reading factors from helper file helper
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 58.81%
2^1514*48688484017^560*133579779967^573*383159376767^784*960310896529^769+1 is prime! (39.6913s+0.0053s)
[Elapsed time: 39.00 seconds]
Helper File:
modified2013-10-21 18:10:45
created2013-10-21 17:39:15

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.