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45 · 2104452 - 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 · 2104452 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g292 : Sun, Proth.exe
Decimal Digits:31445   (log10 is 31444.8383196079)
Rank (*):61273 (digit rank is 1)
Entrance Rank (*):4491
Currently on list? (*):no
Submitted:12/14/2002 14:45:07 CDT
Last modified:12/14/2002 14:45:07 CDT
Removed (*):1/12/2003 15:44:13 CDT
Database id:62735
Status Flags:none
Score (*):35.985 (normalized score 0.0002)

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_id62735
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 45*2^104452-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 45*2^104452-1 is prime! (318.686000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 11, base 1+sqrt(11)
modified2003-03-25 11:23:54
created2002-12-26 16:33:54
id52541

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