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: 2853609856 · 3041#+1 Verification status (*): Proven Official Comment: Cunningham chain 2nd kind (8p-7) Proof-code(s): (*): p94 : Angel, Jobling, Augustin, NewPGen, OpenPFGW Decimal Digits: 1304   (log10 is 1303.84455849663) Rank (*): 69743 (digit rank is 6) Entrance Rank (*): 42025 Currently on list? (*): short Submitted: 10/2002 Last modified: 10/2002 Database id: 42872 Status Flags: none Score (*): 26.1016 (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 4, weight 40.4047788489065
Subcategory: "Cunningham chain 2nd kind (8p-7)"
(archival tag id 178812, 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 42872 person_id 9 machine Linux PII 200 what prime notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 3067 Primality testing 2853609856*3041#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.36% 2853609856*3041#+1 is prime! (15.870000 seconds) modified 2003-03-25 11:24:13 created 2002-12-24 13:44:40 id 49584