14830891072065 · 2666666 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:14830891072065 · 2666666 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2198 : Herbers, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.63425657)
Rank (*):26443 (digit rank is 1261)
Entrance Rank (*):3176
Currently on list? (*):no
Submitted:4/11/2011 18:14:48 CDT
Last modified:4/12/2011 03:50:23 CDT
Removed (*):9/2/2011 19:33:20 CDT
Database id:99466
Status Flags:none
Score (*):41.699 (normalized score 0.0798)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 14830891072065 2 666666 -1 2>&1 [Elapsed time: 9.804 seconds]
modified2020-07-07 17:30:31
created2011-04-11 18:18:41

machineVista on Core 2 6700 2.66GHz
notesCommand: pfgw.exe -n -tp -q"14830891072065*2^666666-1" 2>&1 Primality testing 14830891072065*2^666666-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 7, base 1+sqrt(7) N+1: 14830891Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 14830891072065*2^666666-1 is prime! (24565.6893s+0.0245s) 072065*2^666666-1 665000/666711 [Elapsed time: 24566 seconds]
modified2020-07-07 17:30:31
created2011-04-11 20:34:53

Query times: 0.0002 seconds to select prime, 0.0001 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.