11 · 22897409 + 1

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Description:11 · 22897409 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(2897408,3)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2973 : Kurtovic, Srsieve, PrimeGrid, LLR
Decimal Digits:872209   (log10 is 872208.06009946)
Rank (*):958 (digit rank is 1)
Entrance Rank (*):86
Currently on list? (*):short
Submitted:2/26/2013 12:29:15 CDT
Last modified:2/26/2013 22:08:57 CDT
Database id:111369
Status Flags:none
Score (*):46.2134 (normalized score 7.4985)

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 7, weight 48.611374536803
Subcategory: "Divides GF(*,3)"
(archival tag id 215137, tag last modified 2020-04-02 19:50:05)

User comments about this prime (disclaimer):

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Predrag Kurtovic writes (11 Sep 2014):  (report abuse)
11*2^2897409+1 is Factor of GF(2897408,3) : xGF(2897408,7,4) : xGF(2897404,11,4) xGF(2897408,11,7) : xGF(2897405,12,7) and xGF(2897408,12,11)

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_id111369
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 11 2 2897409 1 2>&1 [Elapsed time: 10.669 seconds]
modified2020-07-07 17:30:22
created2013-02-26 12:35:01
id153056

fieldvalue
prime_id111369
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"11*2^2897409+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 11*2^2897409+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 11*2^2897409+1 is prime! (15893.5563s+0.0019s) [Elapsed time: 4.42 hours]
modified2020-07-07 17:30:22
created2013-02-26 12:38:01
id153057

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