primV(64484)
(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:primV(64484)
Verification status (*):PRP
Official Comment:Lucas primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c74 : Lasher, Dubner, Primo
Decimal Digits:11306   (log10 is 11305.395386963)
Rank (*):71933 (digit rank is 1)
Entrance Rank (*):66924
Currently on list? (*):short
Submitted:9/28/2014 08:11:37 CDT
Last modified:9/28/2014 08:50:15 CDT
Database id:118565
Status Flags:Verify, TrialDiv
Score (*):32.8203 (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.
Lucas primitive part (archivable *)
Prime on list: yes, rank 19
Subcategory: "Lucas primitive part"
(archival tag id 217831, tag last modified 2016-11-23 15:50:39)
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 101
Subcategory: "ECPP"
(archival tag id 217832, tag last modified 2017-10-14 12:20:20)

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 (28 Sep 2014): 
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_id118565
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesPFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 2485346599...5899695361 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N-1 test using base 19
Running N-1 test using base 31
Running N-1 test using base 53
Running N+1 test using discriminant 67, base 4+sqrt(67)
Calling N-1 BLS with factored part 1.60% and helper 0.04% (4.86% proof)


2485346599...5899695361 is Fermat and Lucas PRP! (14.9798s+0.0030s)
[Elapsed time: 15.00 seconds]
modified2015-01-06 10:48:30
created2014-09-28 08:21:02
id164145

Query times: 0.0006 seconds to select prime, 0.0007 seconds to seek comments.