1952907619617 · 21290000 - 1
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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:1952907619617 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3384 : Makowski, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.98508824)
Rank (*):7158 (digit rank is 51)
Entrance Rank (*):2826
Currently on list? (*):no
Submitted:4/15/2015 09:01:33 CDT
Last modified:4/15/2015 14:20:30 CDT
Removed (*):8/28/2016 17:44:31 CDT
Database id:119745
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.9039)

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 1952907619617*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1952907619617*2^1290000-1
Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop...

1952907619617*2^1290000-1 is prime! (388341 decimal digits) Time : 774.242 sec.
[Elapsed time: 12.90 minutes]
modified2015-04-20 07:32:09
created2015-04-15 14:02:15

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.