10277200 - 10257768 - 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:10277200 - 10257768 - 1
Verification status (*):Proven
Official Comment (*):Near-repdigit
Proof-code(s): (*):p372 : Kurtovic, Lasher, Underwood, Ksieve, OpenPFGW
Decimal Digits:277200   (log10 is 277200)
Rank (*):18925 (digit rank is 3)
Entrance Rank (*):8081
Currently on list? (*):no
Submitted:12/18/2013 09:25:29 CDT
Last modified:12/18/2013 19:50:56 CDT
Database id:116666
Status Flags:TrialDiv
Score (*):42.6923 (normalized score 0.1857)

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 45
Subcategory: "Near-repdigit"
(archival tag id 217528, 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_id116666
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -tp -q"10^277200-10^257768-1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 10^277200-10^257768-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 53, base 1+sqrt(53) Calling Brillhart-Lehmer-Selfridge with factored part 65.00% 10^277200-10^257768-1 is prime! (36281.0821s+0.0234s) [Elapsed time: 10.08 hours]
modified2020-07-07 17:30:18
created2013-12-18 09:38:01
id162175

Query times: 0.0003 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.