9422094211005 · 21290000 - 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:9422094211005 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):Arithmetic progression (3,d=2227792035315*2^1290001)
Proof-code(s): (*):L3494 : Batalov, NewPGen, LLR
Decimal Digits:388342   (log10 is 388341.668553978)
Rank (*):8108 (digit rank is 1)
Entrance Rank (*):7901
Currently on list? (*):short
Submitted:4/8/2020 12:34:46 CDT
Last modified:4/8/2020 15:20:19 CDT
Database id:130820
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.6254)

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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: yes, rank 5, weight 51.1347290869489
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 223962, tag last modified 2020-04-18 01:50:22)

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_id130820
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/4/pfgw64 -tp -q"9422094211005*2^1290000-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 9422094211005*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 13, base 1+sqrt(13) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 9422094211005*2^1290000-1 is prime! (9201.3832s+0.0004s) [Elapsed time: 2.56 hours]
modified2020-07-07 17:30:10
created2020-04-08 12:41:01
id176506

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