
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:  34790!  1 
Verification status (*):  Proven 
Official Comment:  Factorial 
Proofcode(s): (*):  p85 : Marchal, Carmody, Kuosa, OpenPFGW 
Decimal Digits:  142891 (log_{10} is 142890.764368903) 
Rank (*):  31071 (digit rank is 1) 
Entrance Rank (*):  55 
Currently on list? (*):  short 
Submitted:  5/21/2002 02:41:30 CDT 
Last modified:  5/21/2002 02:41:30 CDT 
Database id:  79 
Status Flags:  none 
Score (*):  40.6535 (normalized score 0.0461) 

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 187420, tag last modified 20130904 05:50:30)
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  79 
person_id  9 
machine  WinXP P4 1.8GHz 
what  prime 
notes  Primality testing 34790!1 [N+1, BrillhartLehmerSelfridge] PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 34807, base 1+sqrt(34807) Running N+1 test using discriminant 34807, base 2+sqrt(34807) N+1: 34790!1 225000/Calling BrillhartLehmerSelfridge with factored part 34.25% 34790!1 is prime! (103239.710000 seconds) 474679 
modified  20030325 11:22:32 
created  20030116 02:53:42 
id  65956 

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