183500 · 93183500 + 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:183500 · 93183500 + 1
Verification status (*):Proven
Official Comment:Generalized Cullen
Proof-code(s): (*):g157 : Loeh, Proth.exe
Decimal Digits:361222   (log10 is 361221.88469572)
Rank (*):9436 (digit rank is 1)
Entrance Rank (*):1166
Currently on list? (*):short
Submitted:10/27/2012 10:16:00 CDT
Last modified:10/27/2012 11:50:26 CDT
Database id:109937
Status Flags:none
Score (*):43.5062 (normalized score 0.8005)

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 17
Subcategory: "Generalized Cullen"
(archival tag id 214603, 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_id109937
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 183500 93 183500 1 2>&1
[Elapsed time: 9.229 seconds]
modified2012-11-04 23:29:01
created2012-10-27 10:18:01
id149665

fieldvalue
prime_id109937
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"183500*93^183500+1" 2>&1
PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14]
Primality testing 183500*93^183500+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Calling Brillhart-Lehmer-Selfridge with factored part 75.76%
183500*93^183500+1 is prime! (3693.4638s+0.0876s)
[Elapsed time: 61.57 minutes]
modified2012-11-04 23:29:01
created2012-10-27 10:22:52
id149666

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.