
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:  94550!  1 
Verification status (*):  Proven 
Official Comment:  Factorial 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  p290 : Domanov1, Fpsieve, PrimeGrid, OpenPFGW 
Decimal Digits:  429390 (log_{10} is 429389.1416194) 
Rank (*):  2531 (digit rank is 1) 
Entrance Rank (*):  155 
Currently on list? (*):  short 
Submitted:  10/5/2010 12:48:34 CDT 
Last modified:  10/9/2010 02:54:03 CDT 
Database id:  95248 
Status Flags:  none 
Score (*):  44.0374 (normalized score 1.3617) 

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.
 Factorial primes (archivable *)
 Prime on list: yes, rank 6
Subcategory: "Factorial"
(archival tag id 210854, tag last modified 20160727 01:20:35)
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  95248 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 1 94550 ! 1 2>&1 [Elapsed time: 37239.758 seconds]

modified  20111227 16:48:37 
created  20101005 12:52:02 
id  119878 

field  value 
prime_id  95248 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw tp q"94550!1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 94550!1 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 94561, base 1+sqrt(94561) Running N+1 test using discriminant 94561, base 2+sqrt(94561) Calling BrillhartLehmerSelfridge with factored part 33.53% 94550!1 is prime! (309659.2942s+2.1227s) [Elapsed time: 3.58 days]

modified  20101013 12:41:33 
created  20101005 12:53:02 
id  119879 

Query times: 0.0005 seconds to select prime, 0.0004 seconds to seek comments.
