U(15694, 1, 14700) + U(15694, 1, 14699)

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:U(15694, 1, 14700) + U(15694, 1, 14699)
Verification status (*):PRP
Official Comment (*):Lehmer number
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):x45 : Batalov, OpenPFGW, Primo, Unknown
Decimal Digits:61674   (log10 is 61673.088897724)
Rank (*):54579 (digit rank is 1)
Entrance Rank (*):48943
Currently on list? (*):short
Submitted:8/3/2019 15:11:20 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:126708
Status Flags:Verify, TrialDiv
Score (*):38.0643 (normalized score 0.0012)

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 number (archivable *)
Prime on list: yes, rank 1
Subcategory: "Lehmer number"
(archival tag id 220366, tag last modified 2023-03-11 15:53:59)

User comments about this prime (disclaimer):

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Serge Batalov writes (3 Aug 2019):  (report abuse)
CHG proof with factored part 24.93% and helper 3.65%, with p14078 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 (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"lucasU(15694,1,14700)+lucasU(15694,1,14699)" 2>&1 PFGW Version [GWNUM 27.11] Primality testing lucasU(15694,1,14700)+lucasU(15694,1,14699) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Running N+1 test using discriminant 23, base 1+sqrt(23) Calling N+1 BLS with factored part 0.43% and helper 0.15% (1.43% proof) lucasU(15694,1,14700)+lucasU(15694,1,14699) is Fermat and Lucas PRP! (416.9719s+0.0042s) [Elapsed time: 6.95 minutes]
modified2020-07-07 22:30:13
created2019-08-03 17:29:47

Query times: 0.0002 seconds to select prime, 0.0008 seconds to seek comments.
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