289 · 252614 + 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:289 · 252614 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):g76 : DavalDavis, Proth.exe
Decimal Digits:15841   (log10 is 15840.853089707)
Rank (*):72614 (digit rank is 1)
Entrance Rank (*):380
Currently on list? (*):no
Submitted:10/26/1998 14:53:23 CDT
Last modified:10/26/1998 14:53:23 CDT
Removed (*):11/10/2000 16:35:39 CDT
Database id:11697
Status Flags:none
Score (*):33.8649 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Generalized Fermat (archivable *)
Prime on list: no, rank 5022
Subcategory: "Generalized Fermat"
(archival tag id 207221, tag last modified 2022-06-23 12:37:22)

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.
machineLinux PII 200
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 3 Primality testing 289*2^52614+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 289*2^52614+1 is prime! (288.540000 seconds)
modified2003-03-25 11:23:51
created2002-12-27 10:52:30

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