391581 · 2216193 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:391581 · 2216193 - 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):Z : Zarantonello, Smith_Joel, Smith_Gene, Parady, Noll, Brown
Decimal Digits:65087   (log10 is 65086.1706741942)
Rank (*):47474 (digit rank is 1)
Entrance Rank (*):1
Currently on list? (*):no
Submitted:1989
Last modified:1989
Removed (*):2/2/2006 10:11:00 CDT
Database id:390
Status Flags:none
Score (*):38.2305 (normalized score 0.0034)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (11 Sep 2014): 
For more information see [BNPSSZ90].

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_id390
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 391581*2^216193-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 391581*2^216193-1 is prime! (1834.117000 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 11:24:23
created2002-12-24 07:25:23
id48159

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.