74669 · 2271016 - 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:74669 · 2271016 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g188 : Pirson, Proth.exe
Decimal Digits:81589   (log10 is 81588.818445205)
Rank (*):48620 (digit rank is 1)
Entrance Rank (*):115
Currently on list? (*):no
Submitted:7/27/2001 08:29:47 CDT
Last modified:7/27/2001 08:29:47 CDT
Removed (*):2/28/2007 14:53:41 CDT
Database id:258
Status Flags:none
Score (*):38.9272 (normalized score 0.004)

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_id258
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3) N+1: 74669*2^271016-1 265000/271Primality testing 74669*2^271016-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 74669*2^271016-1 is prime! (2973.800000 seconds) 034
modified2003-03-25 11:23:58
created2002-12-25 10:07:54
id52006

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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