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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
Verification status (*):PRP
Official Comment:Fibonacci cofactor, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c8 : Water, Broadhurst, Primo
Decimal Digits:10648   (log10 is 10647.517207478)
Rank (*):72802 (digit rank is 1)
Entrance Rank (*):67203
Currently on list? (*):short
Submitted:9/11/2014 12:59:39 CDT
Last modified:9/11/2014 13:20:29 CDT
Database id:118483
Status Flags:Verify, TrialDiv
Score (*):32.6345 (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 123
Subcategory: "ECPP"
(archival tag id 217813, tag last modified 2017-11-16 23:50:19)
Fibonacci cofactor (archivable *)
Prime on list: yes, rank 6
Subcategory: "Fibonacci cofactor"
(archival tag id 217814, tag last modified 2017-04-14 17:50:17)

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 (11 Sep 2014): 

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"U(51031)/95846689435051369" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing U(51031)/95846689435051369 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 17
Running N-1 test using base 23
Running N-1 test using base 31
Running N-1 test using base 41
Running N+1 test using discriminant 53, base 6+sqrt(53)
Calling N-1 BLS with factored part 0.16% and helper 0.01% (0.50% proof)

U(51031)/95846689435051369 is Fermat and Lucas PRP! (15.9680s+0.0008s)
[Elapsed time: 16.00 seconds]
modified2014-12-15 15:47:32
created2014-09-11 13:01:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.