97336164242 · 2371# + 1
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:97336164242 · 2371# + 1
Verification status (*):Proven
Official Comment:Arithmetic progression (9,d=6350457699*2371#)
Proof-code(s): (*):p308 : DavisK, Underwood, NewPGen, PrimeForm_egroup, OpenPFGW
Decimal Digits:1014   (log10 is 1013.7384569218)
Rank (*):119483 (digit rank is 154)
Entrance Rank (*):103485
Currently on list? (*):short
Submitted:4/11/2013 15:52:30 CDT
Last modified:4/12/2013 03:23:49 CDT
Database id:112547
Status Flags:none
Score (*):25.3146 (normalized score 0)

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: yes, rank 2, weight 51.3445339816725
Subcategory: "Arithmetic progression (9,d=*)"
(archival tag id 215801, tag last modified 2016-03-15 13:57:15)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"97336164242*2371#+1" 2>&1
PFGW Version [GWNUM 26.5]
Primality testing 97336164242*2371#+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Calling Brillhart-Lehmer-Selfridge with factored part 33.50%
97336164242*2371#+1 is prime! (0.5714s+0.0005s)
[Elapsed time: 1.00 seconds]
modified2013-04-12 17:13:36
created2013-04-11 16:08:13

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 97336164242 2371 # 1 2>&1
[Elapsed time: 146.940 seconds]
modified2013-04-12 17:13:36
created2013-04-12 03:21:22

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