(10393063 - 1)2 - 2

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:(10393063 - 1)2 - 2
Verification status (*):Proven
Official Comment (*):Near-repdigit
Proof-code(s): (*):p405 : Propper, Cksieve, OpenPFGW
Decimal Digits:786126   (log10 is 786126)
Rank (*):2220 (digit rank is 1)
Entrance Rank (*):2202
Currently on list? (*):short
Submitted:5/14/2022 16:28:29 CDT
Last modified:5/15/2022 09:37:20 CDT
Database id:133929
Status Flags:TrialDiv
Score (*):45.8945 (normalized score 3.7193)

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 15
Subcategory: "Near-repdigit"
(archival tag id 227046, tag last modified 2022-05-20 20:37:22)

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.
fieldvalue
prime_id133929
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tc -q"(10^393063-1)^2-2" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing (10^393063-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 2+sqrt(13)
Running N+1 test using discriminant 13, base 3+sqrt(13)
Calling N+1 BLS with factored part 50.00% and helper 0.00% (150.00% proof)


(10^393063-1)^2-2 is prime! (60125.9525s+0.0056s)
[Elapsed time: 16.70 hours]
modified2022-05-15 09:13:08
created2022-05-14 16:31:02
id179651

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