
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^{11279} + 1)/3 
Verification status (*):  PRP 
Official Comment:  Cyclotomy, generalized Lucas number, Wagstaff 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  PM : Mihailescu 
Decimal Digits:  3395 (log_{10} is 3394.84019983932) 
Rank (*):  84717 (digit rank is 1) 
Entrance Rank (*):  6068 
Currently on list? (*):  short 
Submitted:  1/1998 
Last modified:  1/1998 
Database id:  28909 
Status Flags:  Verify 
Score (*):  29.0853 (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.
 Cyclotomy Proof (tolerated *)
 Prime on list: no, rank 112
Subcategory: "Cyclotomy Proof"
(archival tag id 181336, tag last modified 20051206 08:20:23)  Generalized Lucas Number (archivable *)
 Prime on list: no, rank 92
Subcategory: "Generalized Lucas Number"
(archival tag id 181335, tag last modified 20160502 05:50:25)  Wagstaff (archivable *)
 Prime on list: yes, rank 5
Subcategory: "Wagstaff"
(archival tag id 181337, tag last modified 20140917 12:50:33)
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  28909 
person_id  9 
machine  Linux PII 200 
what  prp 
notes  PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N1 test using base 2 Primality testing (2^11279+1)/3 [N1/N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 5, base 1+sqrt(5) Running N+1 test using discriminant 5, base 2+sqrt(5) Running N+1 test using discriminant 5, base 5+sqrt(5) Running N+1 test using discriminant 5, base 6+sqrt(5) Calling N+1 BLS with factored part 0.82% and helper 0.12% (2.62% proof) (2^11279+1)/3 is Fermat and Lucas PRP! (493.410000 seconds) 
modified  20030325 11:22:57 
created  20030104 18:01:29 
id  61991 

Query times: 0.0006 seconds to select prime, 0.0008 seconds to seek comments.
