3142487929965 · 2666668 - 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:3142487929965 · 2666668 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2193 : Hubbard, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.56242293)
Rank (*):26782 (digit rank is 1513)
Entrance Rank (*):3069
Currently on list? (*):no
Submitted:2/22/2011 22:21:30 CDT
Last modified:2/23/2011 06:20:23 CDT
Removed (*):8/23/2011 19:05:36 CDT
Database id:98720
Status Flags:none
Score (*):41.699 (normalized score 0.0787)

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/TrialDiv/TrialDiv -q 3142487929965 2 666668 -1 2>&1 [Elapsed time: 10.247 seconds]
modified2020-07-07 17:30:32
created2011-02-22 22:35:22

machineWinXP Dual Core 2.6GHz Laptop
notesCommand: pfgw.exe -n -tp -q"3142487929965*2^666668-1" 2>&1 Primality testing 3142487929965*2^666668-1 [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: 314248792996Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 3142487929965*2^666668-1 is prime! (14695.7875s+0.0047s) 5*2^666668-1[Elapsed time: 14695 seconds]
modified2020-07-07 17:30:32
created2011-02-23 02:00:54

Query times: 0.0004 seconds to select prime, 0.0012 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.