5 · 21282755 + 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.

This prime's information:

Description:5 · 21282755 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(1282754,3), GF(1282748,5)
Proof-code(s): (*):g55 : Toplic, Proth.exe
Decimal Digits:386149   (log10 is 386148.43105796)
Rank (*):17850 (digit rank is 1)
Entrance Rank (*):10
Currently on list? (*):no
Submitted:6/3/2002 13:21:43 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:13
Status Flags:none
Score (*):43.7112 (normalized score 0.2815)

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 23, weight 45.320717115442
Subcategory: "Divides GF(*,5)"
(archival tag id 187079, tag last modified 2024-03-22 08:37:11)
Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 25, weight 45.320717115442
Subcategory: "Divides GF(*,3)"
(archival tag id 187078, tag last modified 2024-03-22 08:37:11)

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
notesRunning N-1 test using base 3 Primality testing 5*2^1282755+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 5*2^1282755+1 is prime! (43233.507000 seconds)
modified2003-03-25 17:27:28
created2002-12-06 00:05:49

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.