primV(11076, - 1, 12000)

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

Description:primV(11076, - 1, 12000)
Verification status (*):Proven
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:25885   (log10 is 25884.050883927)
Rank (*):71288 (digit rank is 1)
Entrance Rank (*):19146
Currently on list? (*):short
Submitted:11/25/2005 20:09:52 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:76279
Status Flags:none
Score (*):35.3837 (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 17
Subcategory: "Generalized Lucas primitive part"
(archival tag id 191678, tag last modified 2023-03-11 15:53:59)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (12 May 2021):  (report abuse)
BLS proof with ECPP helpers.

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.
machineWinXP Pentium M 1.7GHz
notesCommand: pfgw.exe -n -f -tc -hp76279.txt -q"primV(11076,-1,12000)" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Reading factors from helper file p76279.txt trial factoring to 8009835 Running N-1 test using base 23 Primality testing primV(11076,-1,12000) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 Calling N-1 BLS with factored part 33.34% and helper 0.05% (100.06% proof) primV(11076,-1,12000) is prime! (1749.1129s+0.3337s) Running N+1 test using discriminant 43, base 18+sqrt(43) [Elapsed time: 1748 seconds]
modified2020-07-07 22:30:43
created2005-12-30 14:48:28

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