193997 · 211452891 + 1

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Description:193997 · 211452891 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4398 : Greer, Srsieve, PrimeGrid, LLR
Decimal Digits:3447670   (log10 is 3447669.0158651)
Rank (*):50 (digit rank is 1)
Entrance Rank (*):23
Currently on list? (*):short
Submitted:4/3/2018 20:19:27 CDT
Last modified:4/4/2018 20:50:26 CDT
Database id:124564
Status Flags:TrialDiv
Score (*):50.4272 (normalized score 396.1887)

User comments about this prime (disclaimer):

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PrimeGrid writes (5 Apr 2018):  (report abuse)
This prime eliminates k=193997 from the Extended Sierpinski Problem.

For more information, please see the official announcement.

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 -t -q"193997*2^11452891+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 193997*2^11452891+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 193997*2^11452891+1 is prime! (87794.5432s+0.0037s) [Elapsed time: 24.39 hours]
modified2020-07-07 17:30:15
created2018-04-03 20:21:01

Query times: 0.0005 seconds to select prime, 0.0009 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.