
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
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 · 2^{171960}  1 
Verification status (*):  Proven 
Official Comment:  Twin (p) 
Proofcode(s): (*):  x24 : Jarai_Z, Farkas, Csajbok, Kasza, Jarai, Unknown 
Decimal Digits:  51779 (log_{10} is 51778.3451691349) 
Rank (*):  48859 (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 0.002) 

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 10
Subcategory: "Twin (p)"
(archival tag id 189944, tag last modified 20160402 09:20:06)
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*2^1719601 2>&1 Starting Lucas Lehmer Riesel prime test of 16869987339975*2^1719601 V1 = 11 ; Computing U0... Done Computing U0. Starting LucasLehmer loop... 16869987339975*2^1719601 is prime! Time: 632.395 sec. [Elapsed time: 633 seconds]

modified  20050923 12:19:27 
created  20050908 03:53:00 
id  80710 

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
