11 · 23771821 + 1

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Description:11 · 23771821 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p286 : Batalov, Srsieve, OpenPFGW
Decimal Digits:1135433   (log10 is 1135432.300668)
Rank (*):381 (digit rank is 1)
Entrance Rank (*):49
Currently on list? (*):short
Submitted:2/21/2013 01:16:32 CDT
Last modified:2/21/2013 12:20:25 CDT
Database id:111302
Status Flags:none
Score (*):47.0227 (normalized score 12.987)

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Serge Batalov writes (11 Sep 2014):  (report abuse)
11*2^3771821+1 Divides xGF(3771818,7,3), xGF(3771819,10,3), xGF(3771819,10,7), and xGF(3771819,11,4)

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 11 2 3771821 1 2>&1 [Elapsed time: 10.896 seconds]
modified2020-07-07 17:30:22
created2013-02-21 01:18:02

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"11*2^3771821+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 11*2^3771821+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 11*2^3771821+1 is prime! (36326.7822s+0.0035s) [Elapsed time: 10.09 hours]
modified2020-07-07 17:30:22
created2013-02-21 01:51:10

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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