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: 2288999415 · 215939-1 Verification status (*): Proven Official Comment: Cunningham chain (4p+3) Proof-code(s): (*): p133 : Sun, NewPGen, OpenPFGW Decimal Digits: 4808   (log10 is 4807.47674657) Rank (*): 52803 (digit rank is 2) Entrance Rank (*): 33701 Currently on list? (*): short Submitted: 7/22/2004 16:16:17 CDT Last modified: 7/22/2004 16:16:17 CDT Database id: 71014 Status Flags: none Score (*): 30.1671 (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: yes, rank 5, weight 38.4289308881998
Subcategory: "Cunningham chain (4p+3)"
(archival tag id 195306, 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 71014 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/llr.pl 2288999415*2^15939-1 2>&1 Starting Lucas Lehmer Riesel prime test of 2288999415*2^15939-1 V1 = 5 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 2288999415*2^15939-1 is prime! Time : 4.197 sec. modified 2004-08-05 12:46:56 created 2004-07-22 16:23:10 id 75989