
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^{30402457}  1 
Verification status (*):  External 
Official Comment:  Mersenne 43 
Unofficial Comments:  This prime has 3 user comments below. 
Proofcode(s): (*):  G9 : Boone, Cooper, GIMPS, Prime95 
Decimal Digits:  9152052 (log_{10} is 9152051.49888437) 
Rank (*):  7 (digit rank is 1) 
Entrance Rank (*):  1 
Currently on list? (*):  short 
Submitted:  12/15/2005 08:46:58 CDT 
Last modified:  1/18/2015 06:52:04 CDT 
Database id:  76545 
Status Flags:  none 
Score (*):  53.4157 (normalized score 16107.4866) 

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 7
Subcategory: "Mersenne"
(archival tag id 187006, 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  76545 
person_id  9 
machine  Linux P4 2.8GHz 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 1 2 30402457 1 2>&1 [Elapsed time: 21.353 seconds]

modified  20051225 13:52:15 
created  20051225 03:22:00 
id  81945 

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
