255 · 288046 + 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:255 · 288046 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g67 : Dodson, Proth.exe
Decimal Digits:26507   (log10 is 26506.893538411)
Rank (*):65463 (digit rank is 1)
Entrance Rank (*):360
Currently on list? (*):no
Submitted:7/16/1999 04:54:05 CDT
Last modified:7/16/1999 04:54:05 CDT
Removed (*):4/22/2002 14:25:06 CDT
Database id:6345
Status Flags:none
Score (*):35.4572 (normalized score 0.0001)

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.
machineWinXP Athlon 1.3GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 7 Primality testing 255*2^88046+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 255*2^88046+1 is prime! (94.736000 seconds)
modified2003-03-25 11:23:07
created2003-01-02 05:52:49

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.