(V(1212, 1, 4887) + 1)/(V(1212, 1, 27) + 1)

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.

Description:(V(1212, 1, 4887) + 1)/(V(1212, 1, 27) + 1)
Verification status (*):PRP
Official Comment (*):Lehmer primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):E1 : Batalov, CM
Decimal Digits:14986   (log10 is 14985.821295511)
Rank (*):73844 (digit rank is 1)
Entrance Rank (*):73760
Currently on list? (*):no
Submitted:6/8/2022 02:06:55 CDT
Last modified:6/8/2022 02:37:17 CDT
Database id:134023
Status Flags:Verify, TrialDiv
Score (*):33.6931 (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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 119
Subcategory: "ECPP"
(archival tag id 227110, tag last modified 2022-07-06 12:37:18)
Lehmer primitive part (archivable *)
Prime on list: no, rank 22
Subcategory: "Lehmer primitive part"
(archival tag id 227111, tag last modified 2022-06-26 16:37:21)

User comments about this prime (disclaimer):

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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.
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(lucasV(1212,1,4887)+1)/(lucasV(1212,1,27)+1)" 2>&1
PFGW Version [GWNUM 29.8]
Primality testing (lucasV(1212,1,4887)+1)/(lucasV(1212,1,27)+1) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 59
Running N+1 test using discriminant 71, base 12+sqrt(71)
Calling N-1 BLS with factored part 1.78% and helper 0.03% (5.38% proof)

(lucasV(1212,1,4887)+1)/(lucasV(1212,1,27)+1) is Fermat and Lucas PRP! (7.4651s+0.0004s)
[Elapsed time: 8.00 seconds]
modified2022-06-08 02:11:09
created2022-06-08 02:11:01

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.