U(35759, 1, 4620) + U(35759, 1, 4619)

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Description:U(35759, 1, 4620) + U(35759, 1, 4619)
Verification status (*):PRP
Official Comment (*):Lehmer number
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):x25 : Water, Broadhurst, Primo, OpenPFGW
Decimal Digits:21033   (log10 is 21032.087012683)
Rank (*):66522 (digit rank is 1)
Entrance Rank (*):61218
Currently on list? (*):short
Submitted:5/30/2016 19:56:02 CDT
Last modified:5/30/2016 20:20:33 CDT
Database id:121715
Status Flags:Verify, TrialDiv
Score (*):34.7419 (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.
Lehmer number (archivable *)
Prime on list: yes, rank 14
Subcategory: "Lehmer number"
(archival tag id 218338, tag last modified 2019-08-03 12:50:11)

User comments about this prime (disclaimer):

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David Broadhurst writes (30 May 2016):  (report abuse)
CHG proof at 21033 digits and 26.91% factorization with details in http://physics.open.ac.uk/~dbroadhu/cert/lh35759.zip and a certificate compressed to 14 MB in http://physics.open.ac.uk/~dbroadhu/cert/lh35759_cert.gp.gz

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"lucasU(35759,1,4620)+lucasU(35759,1,4619)" 2>&1 PFGW Version [GWNUM 27.11] Primality testing lucasU(35759,1,4620)+lucasU(35759,1,4619) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Running N+1 test using discriminant 29, base 2+sqrt(29) Calling N+1 BLS with factored part 1.23% and helper 0.45% (4.15% proof) lucasU(35759,1,4620)+lucasU(35759,1,4619) is Fermat and Lucas PRP! (37.7273s+0.0029s) [Elapsed time: 38.00 seconds]
modified2020-07-07 17:30:16
created2016-05-30 20:01:01

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
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