583854 · 141167708 - 1

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Description:583854 · 141167708 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4976 : Propper, Batalov, Gcwsieve, LLR
Decimal Digits:1338349   (log10 is 1338348.64259)
Rank (*):318 (digit rank is 1)
Entrance Rank (*):159
Currently on list? (*):short
Submitted:9/17/2019 10:48:09 CDT
Last modified:9/18/2019 02:50:11 CDT
Database id:129934
Status Flags:TrialDiv
Score (*):47.527 (normalized score 21.5245)

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 Woodall (archivable *)
Prime on list: yes, rank 5
Subcategory: "Generalized Woodall"
(archival tag id 223522, tag last modified 2019-11-26 12:20:12)

User comments about this prime (disclaimer):

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Serge Batalov writes (17 Sep 2019):  (report abuse)
= 583854โ€Šยทโ€Š 196583854โ€Š - 1

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"583854*14^1167708-1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 583854*14^1167708-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 5, base 1+sqrt(5) Calling Brillhart-Lehmer-Selfridge with factored part 73.73% 583854*14^1167708-1 is prime! (56552.8201s+0.1491s) [Elapsed time: 15.71 hours]
modified2020-07-07 17:30:11
created2019-09-17 10:53:01

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