(V(60145, 1, 7317) - 1)/(V(60145, 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.

This prime's information:

Description:(V(60145, 1, 7317) - 1)/(V(60145, 1, 27) - 1)
Verification status (*):PRP
Official Comment (*):Lehmer primitive part
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):x45 : Batalov, OpenPFGW, Primo, Unknown
Decimal Digits:34841   (log10 is 34840.364567145)
Rank (*):63823 (digit rank is 1)
Entrance Rank (*):58176
Currently on list? (*):short
Submitted:8/26/2019 18:04:52 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:129884
Status Flags:Verify, TrialDiv
Score (*):36.3018 (normalized score 0.0002)

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.
Lehmer primitive part (archivable *)
Prime on list: yes, rank 1
Subcategory: "Lehmer primitive part"
(archival tag id 223512, tag last modified 2023-03-11 15:53:59)

User comments about this prime (disclaimer):

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Serge Batalov writes (26 Aug 2019):  (report abuse)
CHG proof with N-1 factored part 27.81%, with p5482 proven with Primo

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: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"(lucasV(60145,1,7317)-1)/(lucasV(60145,1,27)-1)" 2>&1 PFGW Version [GWNUM 27.11] Primality testing (lucasV(60145,1,7317)-1)/(lucasV(60145,1,27)-1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 43 Running N-1 test using base 53 Running N+1 test using discriminant 73, base 18+sqrt(73) Calling N-1 BLS with factored part 1.02% and helper 0.03% (3.08% proof) (lucasV(60145,1,7317)-1)/(lucasV(60145,1,27)-1) is Fermat and Lucas PRP! (116.2036s+0.0031s) [Elapsed time: 1.93 minutes]
modified2020-07-07 22:30:11
created2019-08-26 18:11:02

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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