5 · 10464843 - 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:5 · 10464843 - 1
Verification status (*):Proven
Official Comment:Near-repdigit
Proof-code(s): (*):p297 : Broadhurst, Srsieve, NewPGen, LLR, OpenPFGW
Decimal Digits:464844   (log10 is 464843.69897)
Rank (*):2854 (digit rank is 1)
Entrance Rank (*):145
Currently on list? (*):short
Submitted:2/13/2011 08:52:54 CDT
Last modified:2/14/2011 23:20:24 CDT
Database id:98369
Status Flags:none
Score (*):44.2811 (normalized score 1.4569)

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.
Near-repdigit (archivable *)
Prime on list: yes, rank 9
Subcategory: "Near-repdigit"
(archival tag id 213132, tag last modified 2018-04-12 13:50:29)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 5 10 464843 -1 2>&1
[Elapsed time: 9.677 seconds]
modified2011-12-27 16:48:34
created2011-02-13 09:05:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -tp -q"5*10^464843-1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 5*10^464843-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 69.90%
5*10^464843-1 is prime! (-1612.0435s+0.1200s)
[Elapsed time: 1.60 days]
modified2011-03-25 10:27:30
created2011-02-13 08:53:01

Query times: 0.0005 seconds to select prime, 0.0005 seconds to seek comments.