primV(17505, 1, 11250)

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This prime's information:

Description:primV(17505, 1, 11250)
Verification status (*):PRP
Official Comment (*):Generalized Lucas primitive part
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):x25 : Broadhurst, Water, OpenPFGW, Primo
Decimal Digits:25459   (log10 is 25458.972682103)
Rank (*):71448 (digit rank is 1)
Entrance Rank (*):41642
Currently on list? (*):short
Submitted:4/25/2011 21:44:14 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:99850
Status Flags:Verify
Score (*):35.3325 (normalized score 0)

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 Lucas primitive part (archivable *)
Prime on list: yes, rank 18
Subcategory: "Generalized Lucas primitive part"
(archival tag id 213221, tag last modified 2023-03-11 15:53:59)

User comments about this prime (disclaimer):

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David Broadhurst writes (12 May 2021):  (report abuse)
CHG proof with a BLS proof of the helper primV(17505,1,750).

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/pfgw -tc -q"primV(17505,1,11250)" 2>&1 PFGW Version [GWNUM 26.5] Primality testing primV(17505,1,11250) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N-1 test using base 29 Running N+1 test using discriminant 47, base 4+sqrt(47) Calling N-1 BLS with factored part 1.70% and helper 0.00% (5.10% proof) primV(17505,1,11250) is Fermat and Lucas PRP! (301.0252s+0.0817s) [Elapsed time: 5.02 minutes]
modified2020-07-07 22:30:31
created2011-04-25 21:45:13

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -o -f -q"primV(17505,1,11250)" 2>&1 PFGW Version [GWNUM 26.5] primV(17505,1,11250) 1/1 mro=0 trial factoring to 7868498 primV(17505,1,11250) has no small factor. [Elapsed time: 22.315 seconds]
modified2020-07-07 22:30:31
created2011-04-25 21:48:01

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