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: 909092313 · 215060-1 Verification status (*): Proven Official Comment: Cunningham chain (4p+3) Proof-code(s): (*): g250 : Angel, Jobling, Augustin, NewPGen, Proth.exe Decimal Digits: 4543   (log10 is 4542.47034268508) Rank (*): 53241 (digit rank is 1) Entrance Rank (*): 25840 Currently on list? (*): no Submitted: 10/2002 Last modified: 10/2002 Database id: 26500 Status Flags: none Score (*): 29.9909 (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 (1st kind) (archivable class *)

Prime on list: no, rank 6, weight 38.1960177068374
Subcategory: "Cunningham chain (4p+3)"
(archival tag id 195389, tag last modified 2009-11-16 15:50:24)

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 26500 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 909092313*2^15060-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.81% 909092313*2^15060-1 is prime! (6.577000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 5, base 1+sqrt(5) modified 2003-03-25 11:25:45 created 2002-12-09 01:56:32 id 32585