
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:  15877#  1 
Verification status (*):  Proven 
Official Comment:  Primorial 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  CD : Dubner, Caldwell, Cruncher 
Decimal Digits:  6845 (log_{10} is 6844.9185759399) 
Rank (*):  76181 (digit rank is 1) 
Entrance Rank (*):  79 
Currently on list? (*):  short 
Submitted:  12/1/1992 
Last modified:  12/1/1992 
Database id:  21658 
Status Flags:  none 
Score (*):  31.2644 (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.
 Primorial (archivable *)
 Prime on list: yes, rank 10
Subcategory: "Primorial"
(archival tag id 194773, tag last modified 20120301 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.
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  21658 
person_id  9 
machine  Windows XP P4 1.8GHz 
what  prime 
notes  Primality testing 15877#1 [N+1, BrillhartLehmerSelfridge] Calling BrillhartLehmerSelfridge with factored part 33.34% 15877#1 is prime! (325.337000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 3+sqrt(3) Running N+1 test using discriminant 3, base 5+sqrt(3) 
modified  20030325 11:23:47 
created  20021227 15:16:13 
id  53419 

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