219 · 248877 - 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 · 248877 - 1
Verification status (*):Proven
Official Comment (*):Arithmetic progression (1,d=(700000077*2^54820-219)*2^48877) [x12]
Proof-code(s): (*):g78 : Herranen, Proth.exe
Decimal Digits:14716   (log10 is 14715.7835421833)
Rank (*):71565 (digit rank is 1)
Entrance Rank (*):506
Currently on list? (*):no
Submitted:11/8/1998 01:25:18 CDT
Last modified:11/8/1998 01:25:18 CDT
Database id:12945
Status Flags:none
Score (*):33.6368 (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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 100
Subcategory: "Arithmetic progression (1,d=*)"
(archival tag id 192554, tag last modified 2019-07-04 05:50:22)

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.
machineWindows XP P4 1.8GHz
notesPrimality testing 219*2^48877-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 219*2^48877-1 is prime! (79.640000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 5, base 1+sqrt(5)
modified2003-03-25 11:25:18
created2002-12-10 11:11:11

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.