U(59369)/244242366914846603945\
83037561699885688092693836440759407570209763004757

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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(59369)/244242366914846603945\
83037561699885688092693836440759407570209763004757
Verification status (*):PRP
Official Comment:Fibonacci cofactor, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c79 : Batalov, Water, Broadhurst, Primo
Decimal Digits:12337   (log10 is 12336.649907999)
Rank (*):70663 (digit rank is 1)
Entrance Rank (*):66759
Currently on list? (*):short
Submitted:4/30/2015 12:09:17 CDT
Last modified:4/30/2015 14:50:26 CDT
Database id:119827
Status Flags:Verify, TrialDiv
Score (*):33.0907 (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 82
Subcategory: "ECPP"
(archival tag id 217997, tag last modified 2017-11-16 23:50:19)
Fibonacci cofactor (archivable *)
Prime on list: yes, rank 2
Subcategory: "Fibonacci cofactor"
(archival tag id 217998, 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 (30 Apr 2015): 
Certificate available at FactorDB

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_id119827
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing U(59369)/2442423669...9763004757 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.10% and helper 0.10% (0.41% proof)


U(59369)/2442423669...9763004757 is Fermat and Lucas PRP! (11.8707s+0.0004s)
[Elapsed time: 12.00 seconds]
modified2015-05-07 06:34:53
created2015-04-30 14:30:19
id165451

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