1098133# - 1
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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:1098133# - 1
Verification status (*):Proven
Official Comment:Primorial
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p346 : Burt, Fpsieve, PrimeGrid, OpenPFGW
Decimal Digits:476311   (log10 is 476310.01876637)
Rank (*):1003 (digit rank is 1)
Entrance Rank (*):253
Currently on list? (*):short
Submitted:3/1/2012 15:03:42 CDT
Last modified:3/12/2012 10:44:54 CDT
Database id:105273
Status Flags:none
Score (*):44.356 (normalized score 2.8254)

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.
Primorial (archivable *)
Prime on list: yes, rank 1
Subcategory: "Primorial"
(archival tag id 214197, tag last modified 2012-03-01 18:50:06)

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.

PrimeGrid writes (5 Mar 2012): 
For more information, please see the Official Announcement.

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_id105273
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 1 1098133 # -1 2>&1
[Elapsed time: 0.009 seconds]
modified2012-07-16 11:33:02
created2012-03-01 15:05:01
id140135

fieldvalue
prime_id105273
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -tp -q"1098133#-1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 1098133#-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 3+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 33.33%
1098133#-1 is prime! (931007.9739s+3.9960s)
[Elapsed time: 10.78 days]
modified2012-07-16 11:33:02
created2012-03-01 15:08:02
id140136

Query times: 0.0006 seconds to select prime, 0.0007 seconds to seek comments.