primU(67781)
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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:primU(67781)
Verification status (*):PRP
Official Comment:Fibonacci primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c77 : Batalov, Primo
Decimal Digits:11587   (log10 is 11586.13479297)
Rank (*):71735 (digit rank is 2)
Entrance Rank (*):67790
Currently on list? (*):short
Submitted:4/9/2015 15:43:12 CDT
Last modified:4/9/2015 16:50:29 CDT
Database id:119693
Status Flags:Verify, TrialDiv
Score (*):32.8963 (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 92
Subcategory: "ECPP"
(archival tag id 217981, tag last modified 2017-10-14 12:20:20)
Fibonacci Primitive Part (archivable *)
Prime on list: yes, rank 2
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217982, tag last modified 2015-04-16 11:20:32)

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 (9 Apr 2015): 
Certificate 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_id119693
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 1363932788...7839068801 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 19
Running N+1 test using discriminant 67, base 15+sqrt(67)
Calling N-1 BLS with factored part 0.61% and helper 0.03% (1.88% proof)


1363932788...7839068801 is Fermat and Lucas PRP! (8.8265s+0.0012s)
[Elapsed time: 9.00 seconds]
modified2015-04-20 07:33:56
created2015-04-09 16:34:22
id165307

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.