
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
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^{42643801}  1 
Verification status (*):  External 
Official Comment:  Mersenne 46? 
Unofficial Comments:  This prime has 2 user comments below. 
Proofcode(s): (*):  G12 : Strindmo, GIMPS, Prime95 
Decimal Digits:  12837064 (log_{10} is 12837063.2301257) 
Rank (*):  4 (digit rank is 1) 
Entrance Rank (*):  2 
Currently on list? (*):  short 
Submitted:  6/13/2009 12:36:33 CDT 
Last modified:  1/16/2016 08:47:52 CDT 
Database id:  88847 
Status Flags:  none 
Score (*):  54.4506 (normalized score 45341.5502) 

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.
 Mersenne (archivable *)
 Prime on list: yes, rank 4
Subcategory: "Mersenne"
(archival tag id 210459, tag last modified 20160119 07:57:44)
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.
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  88847 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 1 2 42643801 1 2>&1 [Elapsed time: 12.306 seconds]

modified  20111227 16:48:43 
created  20090613 12:48:01 
id  107060 

field  value 
prime_id  88847 
person_id  9 
machine  External 
what  prime 
notes  The prime was independently verified June 12th by Tony Reix of Bull SAS in Grenoble, France using the Glucas program running on Bull NovaScale HPC servers, one featuring Itanium2 CPUs and another featuring Nehalem EX CPUs. 
modified  20090613 13:15:55 
created  20090613 12:38:02 
id  107059 

Query times: 0.0005 seconds to select prime, 0.0003 seconds to seek comments.
