
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:  2 · 3^{4217} + 1 
Verification status (*):  Proven 
Official Comment:  Divides Phi(3^4217,2) 
Proofcode(s): (*):  C : Caldwell, Cruncher 
Decimal Digits:  2013 (log_{10} is 2012.32136114848) 
Rank (*):  98122 (digit rank is 27) 
Entrance Rank (*):  1127 
Currently on list? (*):  no 
Submitted:  1992 
Last modified:  1992 
Database id:  35890 
Status Flags:  none 
Score (*):  27.4563 (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.
 Divides Phi (archivable *)
 Prime on list: no, rank 165
Subcategory: "Divides Phi"
(archival tag id 176158, tag last modified 20190128 19:20:22)
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  35890 
person_id  9 
machine  Linux PII 200 
what  prime 
notes  PFGW Version 1.1 for Pentium and compatibles Running N1 test using base 3 Primality testing 2*3^4217+1 [N1, BrillhartLehmerSelfridge] Calling BrillhartLehmerSelfridge with factored part 99.99% 2*3^4217+1 is prime! (7.430000 seconds) 
modified  20030325 11:27:07 
created  20021206 01:29:08 
id  19891 

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