U(35759, 1, 4620) + U(35759, 1, 4619)
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
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 (*):63291 (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 0.0001)

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 9
Subcategory: "Lehmer number"
(archival tag id 218338, tag last modified 2017-06-28 15:50:31)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

David Broadhurst writes (30 May 2016): 
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.
fieldvalue
prime_id121715
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"lucasU(35759,1,4620)+lucasU(35759,1,4619)" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [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]
modified2017-01-27 05:57:11
created2016-05-30 20:01:01
id167353

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.