1005 · 23420846 + 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:1005 · 23420846 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(3420844,10)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2714 : Piotrowski, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1029781   (log10 is 1029780.2587132)
Rank (*):637 (digit rank is 1)
Entrance Rank (*):199
Currently on list? (*):short
Submitted:8/21/2017 01:12:54 CDT
Last modified:8/24/2017 21:20:01 CDT
Database id:123861
Status Flags:TrialDiv
Score (*):46.723 (normalized score 9.639)

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: yes, rank 3, weight 53.635818446493
Subcategory: "Divides GF(*,10)"
(archival tag id 218864, tag last modified 2021-02-18 04:50:24)

User comments about this prime (disclaimer):

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PrimeGrid writes (23 Aug 2017):  (report abuse)
For more details, please see the official announcement.

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"1005*2^3420846+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 1005*2^3420846+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1005*2^3420846+1 is prime! (5150.6986s+0.0005s) [Elapsed time: 85.85 minutes]
modified2020-07-07 17:30:15
created2017-08-21 01:13:01

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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