55 · 21669798 + 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:55 · 21669798 + 1
Verification status (*):Proven
Official Comment:Divides GF(1669797,12)
Proof-code(s): (*):L2518 : Karevik, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:502662   (log10 is 502661.02506241)
Rank (*):1888 (digit rank is 1)
Entrance Rank (*):153
Currently on list? (*):short
Submitted:8/2/2011 14:47:13 CDT
Last modified:8/2/2011 15:50:21 CDT
Database id:100998
Status Flags:none
Score (*):44.5214 (normalized score 2.1468)

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 10, weight 48.5287626031651
Subcategory: "Divides GF(*,12)"
(archival tag id 213356, 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.
fieldvalue
prime_id100998
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 55 2 1669798 1 2>&1
[Elapsed time: 10.501 seconds]
modified2011-12-27 16:48:30
created2011-08-02 14:48:01
id131562

fieldvalue
prime_id100998
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"55*2^1669798+1" 2>&1
PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14]
Primality testing 55*2^1669798+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
55*2^1669798+1 is prime! (2754.9739s+0.0282s)
[Elapsed time: 45.92 minutes]
modified2011-12-27 16:48:30
created2011-08-02 14:50:52
id131563

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