U(66947)/12485272838388758877279873712131648167413
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
 

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(66947)/12485272838388758877279873712131648167413
Verification status (*):PRP
Official Comment:Fibonacci cofactor, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c77 : Batalov, Primo
Decimal Digits:13951   (log10 is 13950.649668776)
Rank (*):68516 (digit rank is 1)
Entrance Rank (*):67866
Currently on list? (*):short
Submitted:4/14/2017 17:29:25 CDT
Last modified:4/14/2017 17:50:15 CDT
Database id:123282
Status Flags:Verify, TrialDiv
Score (*):33.4715 (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 59
Subcategory: "ECPP"
(archival tag id 218702, tag last modified 2017-11-16 23:50:19)
Fibonacci cofactor (archivable *)
Prime on list: yes, rank 1
Subcategory: "Fibonacci cofactor"
(archival tag id 218703, 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.

Serge Batalov writes (14 Apr 2017): 
Certificate is at FactorDB.com

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_id123282
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"U(66947)/12485272838388758877279873712131648167413" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing U(66947)/1248527283...1648167413 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling N+1 BLS with factored part 0.08% and helper 0.06% (0.32% proof)


U(66947)/1248527283...1648167413 is Fermat and Lucas PRP! (14.9443s+0.0010s)
[Elapsed time: 15.00 seconds]
modified2017-08-07 13:02:22
created2017-04-14 17:31:01
id168931

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