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45 · 2174102 - 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:45 · 2174102 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g292 : Sun, Proth.exe
Decimal Digits:52412   (log10 is 52411.5775176042)
Rank (*):53580 (digit rank is 1)
Entrance Rank (*):829
Currently on list? (*):no
Submitted:12/20/2002 21:36:07 CDT
Last modified:12/20/2002 21:36:07 CDT
Removed (*):11/16/2004 09:59:59 CDT
Database id:62808
Status Flags:none
Score (*):37.5624 (normalized score 0.0013)

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_id62808
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 45*2^174102-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 45*2^174102-1 is prime! (1214.941000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 7, base 1+sqrt(7)
modified2003-03-25 11:23:53
created2002-12-27 03:08:50
id52664

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.