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: 1110159213 · 215166+1 Verification status (*): Proven Official Comment: Cunningham chain 2nd kind (4p-3) Proof-code(s): (*): g250 : Angel, Jobling, Augustin, NewPGen, Proth.exe Decimal Digits: 4575   (log10 is 4574.46629950734) Rank (*): 53209 (digit rank is 1) Entrance Rank (*): 25812 Currently on list? (*): short Submitted: 10/2002 Last modified: 10/2002 Database id: 26466 Status Flags: none Score (*): 30.0127 (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 38.2248519784451
Subcategory: "Cunningham chain 2nd kind (4p-3)"
(archival tag id 195373, tag last modified 2009-10-23 06:20:20)

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 26466 person_id 9 machine Linux PII 200 what prime notes PFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 5 Primality testing 1110159213*2^15166+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.80% 1110159213*2^15166+1 is prime! (23.450000 seconds) modified 2003-03-25 11:26:22 created 2002-12-07 10:56:00 id 26554