9 · 212406887 + 1

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Description:9 · 212406887 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(12406885,3)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:3734847   (log10 is 3734846.09405601)
Rank (*):31 (digit rank is 1)
Entrance Rank (*):28
Currently on list? (*):short
Submitted:3/29/2020 15:07:57 CDT
Last modified:3/31/2020 21:20:03 CDT
Database id:130801
Status Flags:TrialDiv
Score (*):50.6722 (normalized score 647.7649)

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 Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: yes, rank 2, weight 52.8695131463354
Subcategory: "Divides GF(*,3)"
(archival tag id 223952, tag last modified 2020-04-02 19:50:05)

User comments about this prime (disclaimer):

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Serge Batalov writes (31 Mar 2020):  (report abuse)
9*2^12406887+1 is a Factor of GF(12406885,3), GF(12406883,11).

9*2^12406887+1 is a Factor of xGF(12406886,7,2), xGF(12406886,7,6), xGF(12406886,8,5), xGF(12406885,11,3), xGF(12406884,11,9)

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.
fieldvalue
prime_id130801
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"9*2^12406887+1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 9*2^12406887+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 9*2^12406887+1 is prime! (59661.9369s+0.0053s) [Elapsed time: 16.57 hours]
modified2020-07-07 17:30:10
created2020-03-29 15:11:01
id176487

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