# 9 · 213334487 + 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.

#### This prime's information:

Description: 9 · 213334487 + 1 Proven Divides GF(13334485,3) This prime has 1 user comment below. L4965 : Propper, LLR 4014082   (log10 is 4014081.5180339) 72 (digit rank is 1) 26 short 3/31/2020 23:07:46 UTC 5/20/2023 20:59:19 UTC 130806 none 50.893 (normalized score 355.4257)

#### 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 2, weight 53.090324438064
Subcategory: "Divides GF(*,3)"
(archival tag id 223955, tag last modified 2023-03-11 15:53:59)

#### User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Serge Batalov writes (2 Apr 2020):  (report abuse)
 9*2^13334487+1 is a Factor of GF(13334485,3), GF(13334486,7), GF(13334484,8) 9*2^13334487+1 is a Factor of xGF(13334486,7,3), xGF(13334485,8,3), xGF(13334486,8,7), GF(13334486,9,7), xGF(13334483,9,8)

#### 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_id130806
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"9*2^13334487+1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 9*2^13334487+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 9*2^13334487+1 is prime! (64281.1081s+0.0057s) [Elapsed time: 17.86 hours]
modified2020-07-07 22:30:10
created2020-03-31 23:11:01
id176492

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.