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: 4093# - 1 Verification status (*): Proven Official Comment: Primorial Proof-code(s): (*): CD : Dubner, Caldwell, Cruncher Decimal Digits: 1750   (log10 is 1749.08059567916) Rank (*): 96654 (digit rank is 1) Entrance Rank (*): 1304 Currently on list? (*): short Submitted: 10/1992 Last modified: 10/1992 Database id: 38100 Status Flags: none Score (*): 27.0189 (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 19
Subcategory: "Primorial"
(archival tag id 176404, tag last modified 2012-03-01 18:50:06)

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 38100 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 4093#-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.51% 4093#-1 is prime! (12.422000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3) modified 2003-03-25 11:23:49 created 2002-12-27 14:42:49 id 53155