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219 · 225863 - 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:219 · 225863 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g78 : Herranen, Proth.exe
Decimal Digits:7788   (log10 is 7787.87922197238)
Rank (*):78317 (digit rank is 1)
Entrance Rank (*):2236
Currently on list? (*):no
Submitted:11/3/1998 02:25:55 CDT
Last modified:11/3/1998 02:25:55 CDT
Removed (*):5/14/1999 18:05:41 CDT
Database id:19663
Status Flags:none
Score (*):31.6648 (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_id19663
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 219*2^25863-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.97% 219*2^25863-1 is prime! (20.474000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 7, base 1+sqrt(7)
modified2003-03-25 11:25:31
created2002-12-09 14:13:20
id34722

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