3142487929965 · 2666668 - 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:3142487929965 · 2666668 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2193 : Hubbard, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.56242293)
Rank (*):26269 (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 0.0849)

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.
fieldvalue
prime_id98720
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 3142487929965 2 666668 -1 2>&1
[Elapsed time: 10.247 seconds]
modified2011-12-27 16:48:34
created2011-02-22 22:35:22
id126783

fieldvalue
prime_id98720
person_id9
machineWinXP Dual Core 2.6GHz Laptop
whatprime
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]
modified2011-12-27 16:48:34
created2011-02-23 02:00:54
id126845

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.