15 · 23668194 - 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:15 · 23668194 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3665 : Kelava1, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:1104238   (log10 is 1104237.6000059)
Rank (*):163 (digit rank is 1)
Entrance Rank (*):54
Currently on list? (*):short
Submitted:10/15/2013 15:32:01 CDT
Last modified:10/17/2013 14:20:53 CDT
Database id:115978
Status Flags:TrialDiv
Score (*):46.9372 (normalized score 22.7316)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 15*2^3668194-1 2>&1
Starting Lucas Lehmer Riesel prime test of 15*2^3668194-1
Using Irrational Base DWT : Mersenne fftlen = 196608, Used fftlen = 229376
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

15*2^3668194-1 is prime! Time : 27837.687 sec.
[Elapsed time: 7.73 hours]
modified2013-10-21 18:10:45
created2013-10-17 06:10:30

Query times: 0.0011 seconds to select prime, 0.0008 seconds to seek comments.