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: 6179783529 · 2411#+1 Verification status (*): Proven Official Comment: Arithmetic progression (8,d=176836494*2411#) Proof-code(s): (*): p102 : Underwood, Frind, OpenPFGW Decimal Digits: 1037   (log10 is 1036.19045488259) Rank (*): 82758 (digit rank is 61) Entrance Rank (*): 57855 Currently on list? (*): short Submitted: 6/12/2003 16:59:26 CDT Last modified: 6/12/2003 16:59:26 CDT Database id: 65084 Status Flags: none Score (*): 25.3832 (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.

Arithmetic Progressions of Primes (archivable class *)

Prime on list: yes, rank 2, weight 48.0405423043184
Subcategory: "Arithmetic progression (8,d=*)"
(archival tag id 177781, tag last modified 2009-04-20 22:20:23)

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 65084 person_id 9 machine WinXP P4 1.8GHz what prime notes PFGW Version 20030108.Win_Dev (Alpha 'caveat utilitor') [FFT v22.12 w/P4] Running N-1 test using base 2 Primality testing 6179783529*2411#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.41% 6179783529*2411#+1 is prime! (50.031000 seconds) modified 2003-06-13 11:37:20 created 2003-06-13 11:36:24 id 69957