174885 · 98174885 + 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:174885 · 98174885 + 1
Verification status (*):Proven
Official Comment:Generalized Cullen
Proof-code(s): (*):g157 : Loeh, Proth.exe
Decimal Digits:348241   (log10 is 348240.81500004)
Rank (*):9734 (digit rank is 1)
Entrance Rank (*):1212
Currently on list? (*):short
Submitted:8/26/2012 06:48:07 CDT
Last modified:8/26/2012 08:20:55 CDT
Database id:108952
Status Flags:none
Score (*):43.3937 (normalized score 0.7153)

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 Cullen (archivable *)
Prime on list: yes, rank 18
Subcategory: "Generalized Cullen"
(archival tag id 214464, tag last modified 2016-10-09 16:20:19)

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_id108952
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 174885 98 174885 1 2>&1
[Elapsed time: 9.251 seconds]
modified2012-09-15 19:04:20
created2012-08-26 06:52:02
id147487

fieldvalue
prime_id108952
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"174885*98^174885+1" 2>&1
PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14]
Primality testing 174885*98^174885+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Calling Brillhart-Lehmer-Selfridge with factored part 84.88%
174885*98^174885+1 is prime! (4335.9648s+0.0677s)
[Elapsed time: 72.28 minutes]
modified2012-09-15 19:04:20
created2012-08-26 06:52:38
id147488

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