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: 3020255265 · 220025-1 Verification status (*): Proven Official Comment: Cunningham chain (4p+3) Proof-code(s): (*): p133 : Sun, NewPGen, OpenPFGW Decimal Digits: 6038   (log10 is 6037.60570682) Rank (*): 49488 (digit rank is 4) Entrance Rank (*): 33439 Currently on list? (*): short Submitted: 4/18/2005 01:01:36 CDT Last modified: 4/18/2005 01:01:36 CDT Database id: 74171 Status Flags: none Score (*): 30.8748 (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 3, weight 39.3644439692121
Subcategory: "Cunningham chain (4p+3)"
(archival tag id 194894, 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 74171 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/llr.pl 3020255265*2^20025-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3020255265*2^20025-1 V1 = 9 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 3020255265*2^20025-1 is prime! Time : 2.619 sec. modified 2005-04-18 11:33:10 created 2005-04-18 01:59:36 id 79190