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: 16869987339975 · 2171960-1 Verification status (*): Proven Official Comment: Twin (p) Proof-code(s): (*): x24 : Jarai_Z, Farkas, Csajbok, Kasza, Jarai Decimal Digits: 51779   (log10 is 51778.3451691349) Rank (*): 22664 (digit rank is 2) Entrance Rank (*): 8233 Currently on list? (*): short Submitted: 9/8/2005 03:46:06 CDT Last modified: 9/8/2005 09:40:50 CDT Database id: 75542 Status Flags: none Score (*): 37.5249 (normalized score 0.0454)

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.

Twin Primes (archivable *)

Prime on list: yes, rank 5
Subcategory: "Twin (p)"
(archival tag id 189944, tag last modified 2009-08-13 16:21:06)

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 75542 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/llr.pl 16869987339975*2^171960-1 2>&1 Starting Lucas Lehmer Riesel prime test of 16869987339975*2^171960-1 V1 = 11 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 16869987339975*2^171960-1 is prime! Time: 632.395 sec. [Elapsed time: 633 seconds] modified 2005-09-23 12:19:27 created 2005-09-08 03:53:00 id 80710