
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:  2316765173284 · 3593# + 16061 
Verification status (*):  PRP 
Official Comment:  Quintuplet (1), ECPP 
Proofcode(s): (*):  c18 : Luhn, Primo 
Decimal Digits:  1543 (log_{10} is 1542.7749052196) 
Rank (*):  101125 (digit rank is 5) 
Entrance Rank (*):  93765 
Currently on list? (*):  short 
Submitted:  10/15/2016 14:33:15 CDT 
Last modified:  10/15/2016 19:20:03 CDT 
Database id:  122380 
Status Flags:  Verify, TrialDiv 
Score (*):  26.6272 (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 838
Subcategory: "ECPP"
(archival tag id 218469, tag last modified 20190602 14:20:07)  Quintuplet (archivable class *)
 Prime on list: yes, rank 2
Subcategory: "Quintuplet (1)"
(archival tag id 218470, tag last modified 20171130 12:50:21)
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  122380 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prp 
notes  Command: /home/caldwell/client/pfgw/pfgw64 tc q"2316765173284*3593#+16061" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2316765173284*3593#+16061 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N+1 test using discriminant 7, base 2+sqrt(7) Calling N1 BLS with factored part 0.92% and helper 0.25% (3.06% proof)
2316765173284*3593#+16061 is Fermat and Lucas PRP! (0.4351s+0.0006s) [Elapsed time: 0.00 seconds]

modified  20170127 05:57:10 
created  20161015 14:42:53 
id  168025 

Query times: 0.001 seconds to select prime, 0.0007 seconds to seek comments.
