10100000 - 1061403 - 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:10100000 - 1061403 - 1
Verification status (*):Proven
Official Comment (*):Near-repdigit
Proof-code(s): (*):p62 : Underwood, PrimeForm_egroup, OpenPFGW
Decimal Digits:100000   (log10 is 100000)
Rank (*):45767 (digit rank is 1)
Entrance Rank (*):87
Currently on list? (*):no
Submitted:10/27/2001 14:25:17 CDT
Last modified:10/27/2001 14:25:17 CDT
Database id:168
Status Flags:none
Score (*):39.5542 (normalized score 0.0088)

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: no, rank 105
Subcategory: "Near-repdigit"
(archival tag id 211062, tag last modified 2020-12-12 02:50:18)

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.
fieldvalue
prime_id168
person_id9
machineWinXP P4 1.8GHz
whatprime
notesPrimality testing 10^100000-10^61403-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 11, base 1+sqrt(11) N+1: 10^100000-1Calling Brillhart-Lehmer-Selfridge with factored part 42.92% 10^100000-10^61403-1 is prime! (21006.418000 seconds) 0^61403-1 137500/332194
modified2003-03-25 11:22:34
created2003-01-12 07:53:45
id65618

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.