
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:  2996863034895 · 2^{1290000}  1 
Verification status (*):  Proven 
Official Comment:  Twin (p) 
Proofcode(s): (*):  L2035 : Greer, TwinGen, PrimeGrid, LLR 
Decimal Digits:  388342 (log_{10} is 388341.17107343) 
Rank (*):  4689 (digit rank is 217) 
Entrance Rank (*):  4180 
Currently on list? (*):  short 
Submitted:  9/14/2016 22:19:49 CDT 
Last modified:  9/15/2016 05:50:03 CDT 
Database id:  122213 
Status Flags:  TrialDiv 
Score (*):  43.7286 (normalized score 1) 

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 1
Subcategory: "Twin (p)"
(archival tag id 218424, tag last modified 20160915 05:50:06)
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  122213 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/llr.pl 2996863034895*2^12900001 2>&1 Starting Lucas Lehmer Riesel prime test of 2996863034895*2^12900001 Using zeropadded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting LucasLehmer loop... 2996863034895*2^12900001 is prime! (388342 decimal digits) Time : 795.125 sec. [Elapsed time: 13.25 minutes]

modified  20160914 22:34:16 
created  20160914 22:21:01 
id  167852 

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