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: 42209#+1 Verification status (*): Proven Official Comment: Primorial Proof-code(s): (*): p8 : Caldwell, OpenPFGW Decimal Digits: 18241   (log10 is 18240.7694428943) Rank (*): 36673 (digit rank is 1) Entrance Rank (*): 810 Currently on list? (*): short Submitted: 5/31/1999 13:22:25 CDT Last modified: 5/31/1999 13:22:25 CDT Database id: 10216 Status Flags: none Score (*): 34.3014 (normalized score 0.0018)

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 4
Subcategory: "Primorial"
(archival tag id 192321, tag last modified 2009-02-12 20:01:29)

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 10216 person_id 9 machine WinXP Athlon 1.3GHz what prime notes PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 3 Primality testing 42209#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.35% 42209#+1 is prime! (778.689000 seconds) modified 2003-03-25 11:23:27 created 2002-12-29 08:11:17 id 57058