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67 · 2403461 - 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:67 · 2403461 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L83 : Voznyy, NewPGen, Proth.exe, LLR
Decimal Digits:121456   (log10 is 121455.689155388)
Rank (*):38667 (digit rank is 1)
Entrance Rank (*):709
Currently on list? (*):no
Submitted:11/8/2005 19:02:41 CDT
Last modified:11/8/2005 21:13:53 CDT
Removed (*):5/20/2009 17:37:26 CDT
Database id:76143
Status Flags:none
Score (*):40.153 (normalized score 0.0176)

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_id76143
person_id9
machineWinXP Pentium M 1.7GHz
whatprime
notesCommand: pfgw.exe -n -f -tp -q"67*2^403461-1" 2>&1
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
trial factoring to 41951030
Running N+1 test using discriminant 3, base 1+sqrt(3)
N+1: 67*2^Primality testing 67*2^403461-1 [N+1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
67*2^403461-1 is prime! (4960.5554s+0.3285s)
403461-1[Elapsed time: 4962 seconds]
modified2005-12-10 11:09:16
created2005-11-08 19:51:10
id81347

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