
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:  Phi(3,  143332^{393216}) 
Verification status (*):  Proven 
Official Comment:  Generalized unique 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  L4506 : Propper, Batalov, CycloSv, EMsieve, PIES, Prime95, LLR 
Decimal Digits:  4055114 (log_{10} is 4055113.26470699) 
Rank (*):  19 (digit rank is 1) 
Entrance Rank (*):  12 
Currently on list? (*):  short 
Submitted:  1/30/2017 05:56:38 CDT 
Last modified:  2/6/2017 06:23:19 CDT 
Database id:  122812 
Status Flags:  TrialDiv 
Score (*):  50.9242 (normalized score 1064.1574) 

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.
 Generalized Unique (archivable *)
 Prime on list: yes, rank 2
Subcategory: "Generalized Unique"
(archival tag id 218596, tag last modified 20170306 16:20:05)
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  122812 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw/pfgw64 t q"Phi(3,143332^393216)" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing Phi(3,143332^393216) [N1, BrillhartLehmerSelfridge] Running N1 test using base 11 Calling BrillhartLehmerSelfridge with factored part 35.97%
Phi(3,143332^393216) is prime! (606135.7958s+1.1064s) [Elapsed time: 7.02 days]

modified  20170331 15:53:57 
created  20170130 06:01:01 
id  168455 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
