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165 · 2487961 - 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:165 · 2487961 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L32 : Minovic, NewPGen, 15k, LLR
Decimal Digits:146894   (log10 is 146893.115198136)
Rank (*):35213 (digit rank is 1)
Entrance Rank (*):377
Currently on list? (*):no
Submitted:8/2/2005 02:45:17 CDT
Last modified:8/2/2005 09:27:32 CDT
Removed (*):2/23/2010 00:11:28 CDT
Database id:75243
Status Flags:none
Score (*):40.7385 (normalized score 0.0317)

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.
machineWinXP P4 2.2GHz
notesCommand: pfgw.exe -n -f -tp -q"165*2^487961-1" 2>&1
PFGW Version 1.2.0 for Windows [FFT v23.8]
Primality testing 165*2^487961-1 [N+1, Brillhart-Lehmer-Selfridge]
trial factoring to 51386660
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
165*2^487961-1 is prime! (8721.1040s+0.0318s)
[Elapsed time: 8721 seconds]
modified2005-08-04 08:15:53
created2005-08-02 07:02:10

Query times: 0.0005 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <> © Chris Caldwell.