
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(112914) 
Verification status (*):  PRP 
Official Comment:  Lucas primitive part, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c74 : Lasher, Dubner, Primo 
Decimal Digits:  14446 (log_{10} is 14445.225694079) 
Rank (*):  70237 (digit rank is 1) 
Entrance Rank (*):  66771 
Currently on list? (*):  short 
Submitted:  11/23/2016 15:31:44 CDT 
Last modified:  11/23/2016 15:50:35 CDT 
Database id:  122528 
Status Flags:  Verify, TrialDiv 
Score (*):  33.5794 (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 11
Subcategory: "Lucas primitive part"
(archival tag id 218524, tag last modified 20190514 22:20:24)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 73
Subcategory: "ECPP"
(archival tag id 218525, tag last modified 20191003 14:20:22)
User comments about this prime (disclaimer):
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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.
field  value 
prime_id  122528 
person_id  9 
machine  Using: Xeon (pool) 4c+4c 3.5GHz 
what  prp 
notes  PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1681489185...9194828801 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 37 Running N1 test using base 43 Running N+1 test using discriminant 67, base 14+sqrt(67) Calling N1 BLS with factored part 1.50% and helper 0.00% (4.52% proof)
1681489185...9194828801 is Fermat and Lucas PRP! (19.6559s+0.0717s) [Elapsed time: 20.00 seconds]

modified  20170127 05:57:10 
created  20161123 15:33:02 
id  168170 

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
