30981 · 14433735 - 1

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Description:30981 · 14433735 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p77 : Harvey, MultiSieve, GenWoodall, OpenPFGW
Decimal Digits:497121   (log10 is 497120.33465033)
Rank (*):4678 (digit rank is 1)
Entrance Rank (*):1362
Currently on list? (*):short
Submitted:10/16/2015 18:15:33 CDT
Last modified:10/16/2015 22:32:48 CDT
Database id:120465
Status Flags:TrialDiv
Score (*):44.4873 (normalized score 1.0438)

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 12
Subcategory: "Generalized Woodall"
(archival tag id 218112, tag last modified 2019-11-26 12:20:12)

User comments about this prime (disclaimer):

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Steven Harvey writes (16 Oct 2015):  (report abuse)
Generalized Woodall: 433734*14^433734-1

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 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tp -q"30981*14^433735-1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 30981*14^433735-1 [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% 30981*14^433735-1 is prime! (5838.8024s+0.0106s) [Elapsed time: 1.62 hours]
modified2020-07-07 17:30:17
created2015-10-16 18:21:02

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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