374565 · 22247391 + 1

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Description:374565 · 22247391 + 1
Verification status (*):Proven
Official Comment (*):Generalized Cullen
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3532 : Batalov, Gcwsieve, LLR
Decimal Digits:676538   (log10 is 676537.67651246)
Rank (*):1713 (digit rank is 1)
Entrance Rank (*):174
Currently on list? (*):short
Submitted:6/10/2013 05:27:03 CDT
Last modified:6/10/2013 11:50:27 CDT
Database id:114375
Status Flags:none
Score (*):45.4336 (normalized score 3.2915)

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 11
Subcategory: "Generalized Cullen"
(archival tag id 217182, tag last modified 2019-09-04 15:50:26)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Serge Batalov writes (11 Sep 2014):  (report abuse)
749130*8^749130+1 Generalized Cullen (b=8)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 374565 2 2247391 1 2>&1 [Elapsed time: 10.807 seconds]
modified2020-07-07 17:30:19
created2013-06-10 05:35:12

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"374565*2^2247391+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 374565*2^2247391+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 374565*2^2247391+1 is prime! (18986.0867s+0.0016s) [Elapsed time: 5.27 hours]
modified2020-07-07 17:30:19
created2013-06-10 06:33:22

Query times: 0.0017 seconds to select prime, 0.0007 seconds to seek comments.
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