581 · 2138050 - 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.

This prime's information:

Description:581 · 2138050 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g314 : Okon, NPLB, Proth.exe
Decimal Digits:41560   (log10 is 41559.955077545)
Rank (*):60288 (digit rank is 1)
Entrance Rank (*):2706
Currently on list? (*):no
Submitted:7/16/2003 07:03:45 CDT
Last modified:7/16/2003 07:03:45 CDT
Removed (*):1/12/2004 21:33:46 CDT
Database id:65553
Status Flags:none
Score (*):36.8464 (normalized score 0.0004)

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_id65553
person_id9
machineLinux P4 2.8GHz
whatprime
notesPFGW Version 20030702.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3) Primality testing 581*2^138050-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 581*2^138050-1 is prime! (659.4635s+0.0003s)
modified2020-07-07 17:30:47
created2003-07-18 19:07:18
id70382

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.