1826765499867 · 21290000 - 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help

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:1826765499867 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L4057 : Cavnaugh, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.95608934)
Rank (*):7187 (digit rank is 167)
Entrance Rank (*):2566
Currently on list? (*):no
Submitted:2/11/2015 09:53:59 CDT
Last modified:2/11/2015 10:50:26 CDT
Removed (*):8/2/2016 01:26:50 CDT
Database id:119284
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.9193)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 1826765499867*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1826765499867*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 11 ; Computing U0...
V1 = 11 ; Computing U0...done.Starting Lucas-Lehmer loop...

1826765499867*2^1290000-1 is prime! (388341 decimal digits) Time : 773.907 sec.
[Elapsed time: 12.90 minutes]
modified2015-04-20 07:32:09
created2015-02-11 10:24:44

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.