255 · 248509 + 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 · 248509 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g17 : Whitaker, Proth.exe
Decimal Digits:14606   (log10 is 14605.070599844)
Rank (*):72415 (digit rank is 1)
Entrance Rank (*):328
Currently on list? (*):no
Submitted:7/8/1998 15:05:03 CDT
Last modified:7/8/1998 15:05:03 CDT
Removed (*):8/23/2000 07:09:44 CDT
Database id:12991
Status Flags:none
Score (*):33.6135 (normalized score 0)

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_id12991
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 7 Primality testing 255*2^48509+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 255*2^48509+1 is prime! (218.990000 seconds)
modified2003-03-25 11:24:30
created2002-12-21 22:26:11
id46681

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.