177482 · 117177482 + 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:177482 · 117177482 + 1
Verification status (*):Proven
Official Comment:Generalized Cullen
Proof-code(s): (*):g407 : HermleGC, MultiSieve, PRP, Proth.exe
Decimal Digits:367072   (log10 is 367071.01226875)
Rank (*):10312 (digit rank is 1)
Entrance Rank (*):132
Currently on list? (*):short
Submitted:2/3/2008 09:04:13 CDT
Last modified:2/3/2008 15:28:08 CDT
Database id:83932
Status Flags:none
Score (*):43.5555 (normalized score 0.7119)

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 19
Subcategory: "Generalized Cullen"
(archival tag id 187089, tag last modified 2018-03-13 00:20:23)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 177482 117 177482 1 2>&1
[Elapsed time: 9.456 seconds]
modified2011-12-27 16:48:48
created2008-02-03 09:22:02

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"177482*117^177482+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 177482*117^177482+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(163840,20) to FFT(163840,19)
Reduced from FFT(163840,19) to FFT(163840,18)
Reduced from FFT(163840,18) to FFT(163840,17)
Reduced from FFT(163840,17) to FFT(163840,16)
2438776 bit request FFT size=(163840,16)
Calling Brillhart-Lehmer-Selfridge with factored part 53.86%
177482*117^177482+1 is prime! (22530.8592s+0.0888s)
[Elapsed time: 6.26 hours]
modified2008-04-18 10:43:09
created2008-02-03 09:12:37

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