
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:  1938662032575 · 2^{1290000}  1 
Verification status (*):  Proven 
Official Comment:  Arithmetic progression (1,d=10032831585*2^1290001) [p199] 
Proofcode(s): (*):  L927 : Brown1, TwinGen, PrimeGrid, LLR 
Decimal Digits:  388341 (log_{10} is 388340.98190864) 
Rank (*):  8311 (digit rank is 70) 
Entrance Rank (*):  2774 
Currently on list? (*):  short 
Submitted:  4/1/2015 10:59:51 CDT 
Last modified:  10/1/2015 20:20:03 CDT 
Database id:  119668 
Status Flags:  TrialDiv 
Score (*):  43.7286 (normalized score 0.7658) 

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.
 Arithmetic Progressions of Primes (archivable class *)
 Prime on list: yes, rank 2
Subcategory: "Arithmetic progression (1,d=*)"
(archival tag id 218089, tag last modified 20161225 17:20:03)
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  119668 
person_id  9 
machine  Using: Xeon 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/client/llr.pl 1938662032575*2^12900001 2>&1 Starting Lucas Lehmer Riesel prime test of 1938662032575*2^12900001 Using zeropadded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting LucasLehmer loop... 1938662032575*2^12900001 is prime! (388341 decimal digits) Time : 777.297 sec. [Elapsed time: 12.97 minutes]

modified  20150420 07:32:09 
created  20150401 11:01:01 
id  165280 

Query times: 0.0005 seconds to select prime, 0.0005 seconds to seek comments.
