3 · 280190 + 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:3 · 280190 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(80187,3) [BR], arithmetic progression (1,d=(39*2^27588-3)*2^80190) [x12]
Proof-code(s): (*):Y : Young
Decimal Digits:24141   (log10 is 24140.072473549)
Rank (*):67779 (digit rank is 1)
Entrance Rank (*):8
Currently on list? (*):no
Last modified:8/1995
Database id:7057
Status Flags:none
Score (*):35.168 (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 Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 53, weight 36.266709352294
Subcategory: "Divides GF(*,3)"
(archival tag id 191906, tag last modified 2021-02-26 11:20:20)
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 63
Subcategory: "Arithmetic progression (1,d=*)"
(archival tag id 191905, tag last modified 2022-04-28 15:37:19)

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 5 Primality testing 3*2^80190+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3*2^80190+1 is prime! (70.591000 seconds)
modified2003-03-25 11:23:09
created2003-01-01 19:35:44

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