(U(859, 1, 6385) - U(859, 1, 6384))/(U(859, 1, 57) - U(859, 1, 56))

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This prime's information:

Description:(U(859, 1, 6385) - U(859, 1, 6384))/(U(859, 1, 57) - U(859, 1, 56))
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:18567   (log10 is 18566.305016247)
Rank (*):74576 (digit rank is 1)
Entrance Rank (*):70858
Currently on list? (*):short
Submitted:6/26/2022 21:31:03 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:134092
Status Flags:Verify
Score (*):34.3562 (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 113
Subcategory: "ECPP"
(archival tag id 227146, tag last modified 2024-03-24 06:37:14)
Lehmer primitive part (archivable *)
Prime on list: yes, rank 12
Subcategory: "Lehmer primitive part"
(archival tag id 227147, 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_id134092
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(lucasU(859,1,6385)-lucasU(859,1,6384))/(lucasU(859,1,57)-lucasU(859,1,56))" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing (lucasU(859,1,6385)-lucasU(859,1,6384))/(lucasU(859,1,57)-lucasU(859,1,56)) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N-1 BLS with factored part 0.47% and helper 0.18% (1.60% proof) (lucasU(859,1,6385)-lucasU(859,1,6384))/(lucasU(859,1,57)-lucasU(859,1,56)) is Fermat and Lucas PRP! (24.2081s+0.0009s) [Elapsed time: 24.00 seconds]
modified2022-07-11 18:21:44
created2022-06-26 21:32:01
id179836

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
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