V(51941)/28080521576109021\
14547210696868337380250300924116591143641642866931

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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:V(51941)/28080521576109021\
14547210696868337380250300924116591143641642866931
Verification status (*):PRP
Official Comment:Lucas cofactor, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c8 : Water, Broadhurst, Primo
Decimal Digits:10789   (log10 is 10788.578617054)
Rank (*):72235 (digit rank is 1)
Entrance Rank (*):67788
Currently on list? (*):short
Submitted:1/27/2015 18:10:24 CDT
Last modified:1/27/2015 18:20:30 CDT
Database id:119149
Status Flags:Verify, TrialDiv
Score (*):32.6753 (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 115
Subcategory: "ECPP"
(archival tag id 217892, tag last modified 2017-10-14 12:20:20)
Lucas cofactor (archivable *)
Prime on list: yes, rank 4
Subcategory: "Lucas cofactor"
(archival tag id 217893, tag last modified 2015-03-12 17:20:33)

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 (27 Jan 2015): 
certificate

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_id119149
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"V(51941)/2808052157610902114547210696868337380250300924116591143641642866931" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing V(51941)/2808052157...1642866931 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N-1 BLS with factored part 0.13% and helper 0.08% (0.48% proof)


V(51941)/2808052157...1642866931 is Fermat and Lucas PRP! (10.3226s+0.0024s)
[Elapsed time: 11.00 seconds]
modified2015-04-20 07:32:10
created2015-01-27 18:11:01
id164754

Query times: 0.0007 seconds to select prime, 0.0007 seconds to seek comments.