163 · 21129934 + 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:163 · 21129934 + 1
Verification status (*):Proven
Official Comment:Divides GF(1129933,10)
Proof-code(s): (*):L1751 : Eckhard, Srsieve, PrimeGrid, LLR
Decimal Digits:340147   (log10 is 340146.23930819)
Rank (*):10664 (digit rank is 1)
Entrance Rank (*):315
Currently on list? (*):short
Submitted:12/26/2010 05:04:17 CDT
Last modified:12/26/2010 13:50:03 CDT
Database id:97112
Status Flags:none
Score (*):43.3214 (normalized score 0.6576)

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.
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: yes, rank 16, weight 48.4151874965715
Subcategory: "Divides GF(*,10)"
(archival tag id 213037, tag last modified 2017-08-24 21:20:02)

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_id97112
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 163 2 1129934 1 2>&1
[Elapsed time: 10.301 seconds]
modified2011-12-27 16:48:35
created2010-12-26 05:05:02
id123614

fieldvalue
prime_id97112
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"163*2^1129934+1" 2>&1
PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14]
Primality testing 163*2^1129934+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
163*2^1129934+1 is prime! (1858.1823s+0.0277s)
[Elapsed time: 30.97 minutes]
modified2011-01-18 10:15:30
created2010-12-26 05:12:07
id123615

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.