(283339 + 1)/3
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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:(283339 + 1)/3
Verification status (*):PRP
Official Comment:ECPP, generalized Lucas number, Wagstaff
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c54 : Wu_T, Primo
Decimal Digits:25088   (log10 is 25087.061687386)
Rank (*):61483 (digit rank is 1)
Entrance Rank (*):56573
Currently on list? (*):short
Submitted:9/17/2014 12:16:24 CDT
Last modified:9/17/2014 13:12:24 CDT
Database id:118512
Status Flags:Verify, TrialDiv
Score (*):35.287 (normalized score 0.0002)

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 Lucas Number (archivable *)
Prime on list: yes, rank 3
Subcategory: "Generalized Lucas Number"
(archival tag id 217818, tag last modified 2014-09-17 12:50:32)
Elliptic Curve Primality Proof (archivable *)
Prime on list: yes, rank 7
Subcategory: "ECPP"
(archival tag id 217819, tag last modified 2017-06-04 14:20:21)
Wagstaff (archivable *)
Prime on list: yes, rank 1
Subcategory: "Wagstaff"
(archival tag id 217820, tag last modified 2014-09-17 12:50:33)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Tom Wu writes (17 Sep 2014): 
This number was originally reported as a probable prime by Richard McIntosh in July 2000.

The Primo certificate is available from the Primo Top-20 page.

The certification process took approximately 18 months on a 6-core AMD Phenom II processor.

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.
fieldvalue
prime_id118512
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprp
notesCommand: /home/caldwell/client/pfgw/pfgw64 -tc -q"(2^83339+1)/3" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing (2^83339+1)/3 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.10% proof)


(2^83339+1)/3 is Fermat and Lucas PRP! (7.8406s+0.0003s)
[Elapsed time: 8.00 seconds]
modified2014-12-15 15:47:32
created2014-09-17 12:21:01
id164091

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.