
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+2) 
Proofcode(s): (*):  x24 : Jarai_Z, Farkas, Csajbok, Kasza, Jarai, Unknown 
Decimal Digits:  51779 (log_{10} is 51778.3451691349) 
Rank (*):  48401 (digit rank is 1) 
Entrance Rank (*):  8233 
Currently on list? (*):  short 
Submitted:  9/8/2005 03:46:06 CDT 
Last modified:  9/8/2005 09:38:09 CDT 
Database id:  75543 
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 8
Subcategory: "Twin (p+2)"
(archival tag id 189943, tag last modified 20150703 12:20:34)
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  75543 
person_id  9 
machine  Linux P4 2.8GHz 
what  prime 
notes  Command: /home/caldwell/client/pfgw f t q"16869987339975*2^171960+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 16869987339975*2^171960+1 [N1, BrillhartLehmerSelfridge] trial factoring to 16857726 Running N1 test using base 17 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(24576,20) to FFT(24576,19) Reduced from FFT(24576,19) to FFT(24576,18) Reduced from FFT(24576,18) to FFT(24576,17) Reduced from FFT(24576,17) to FFT(24576,16) 344016 bit request FFT size=(24576,16) Calling BrillhartLehmerSelfridge with factored part 99.98% 16869987339975*2^171960+1 is prime! (879.6136s+0.0004s) [Elapsed time: 880 seconds]

modified  20050923 12:19:27 
created  20050908 04:03:33 
id  80711 

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
