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: 6917! - 1 Verification status (*): Proven Official Comment: Factorial Proof-code(s): (*): g1 : Caldwell, Proth.exe Decimal Digits: 23560   (log10 is 23559.0153770989) Rank (*): 53561 (digit rank is 1) Entrance Rank (*): 145 Currently on list? (*): short Submitted: 10/1998 Last modified: 10/1998 Database id: 7789 Status Flags: none Score (*): 35.0927 (normalized score 0.0004)

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 8
Subcategory: "Factorial"
(archival tag id 192000, tag last modified 2011-11-03 03:21:07)

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 7789 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 6917!-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 35.18% 6917!-1 is prime! (1063.679000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 6949, base 1+sqrt(6949) modified 2003-03-25 11:23:30 created 2002-12-28 23:44:52 id 56515