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: 1054831232256 · 3061#+1 Verification status (*): Proven Official Comment: Cunningham chain 2nd kind (8p-7) Proof-code(s): (*): p44 : Broadhurst, OpenPFGW Decimal Digits: 1314   (log10 is 1313.3823676345) Rank (*): 69183 (digit rank is 27) Entrance Rank (*): 43393 Currently on list? (*): short Submitted: 1/26/2003 11:39:26 CDT Last modified: 1/26/2003 11:39:26 CDT Database id: 63577 Status Flags: none Score (*): 26.1244 (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.

Cunningham Chains (2nd kind) (archivable class *)

Prime on list: yes, rank 3, weight 40.4421312756443
Subcategory: "Cunningham chain 2nd kind (8p-7)"
(archival tag id 178800, tag last modified 2005-03-18 18:50:20)

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 63577 person_id 9 machine WinXP Athlon 1.3GHz what prime notes PFGW Version 20030108.Win_Dev (Alpha 'caveat utilitor') [FFT v22.12 w/P4] Running N-1 test using base 3079 Primality testing 1054831232256*3061#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.56% 1054831232256*3061#+1 is prime! (1.582000 seconds) modified 2003-03-25 11:21:46 created 2003-01-28 16:55:51 id 67502