(V(1240, 1, 5589) - 1)/(V(1240, 1, 243) - 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(1240, 1, 5589) - 1)/(V(1240, 1, 243) - 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:16538   (log10 is 16537.4308189)
Rank (*):75930 (digit rank is 2)
Entrance Rank (*):72163
Currently on list? (*):short
Submitted:6/9/2022 05:42:57 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:134027
Status Flags:Verify
Score (*):33.9981 (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 135
Subcategory: "ECPP"
(archival tag id 227112, tag last modified 2024-03-24 06:37:14)
Lehmer primitive part (archivable *)
Prime on list: yes, rank 17
Subcategory: "Lehmer primitive part"
(archival tag id 227113, tag last modified 2023-03-11 15:53:59)

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.
fieldvalue
prime_id134027
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprp
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(lucasV(1240,1,5589)-1)/(lucasV(1240,1,243)-1)" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing (lucasV(1240,1,5589)-1)/(lucasV(1240,1,243)-1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Running N-1 test using base 19 Running N+1 test using discriminant 29, base 10+sqrt(29) Calling N-1 BLS with factored part 1.16% and helper 0.05% (3.53% proof) (lucasV(1240,1,5589)-1)/(lucasV(1240,1,243)-1) is Fermat and Lucas PRP! (9.1587s+0.0004s) [Elapsed time: 10.00 seconds]
modified2022-07-11 18:21:44
created2022-06-09 05:46:01
id179761

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