3838360 - 3284733 + 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:3838360 - 3284733 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p269 : Zhou, OpenPFGW
Decimal Digits:400000   (log10 is 399999.37510678)
Rank (*):11128 (digit rank is 1)
Entrance Rank (*):2143
Currently on list? (*):no
Submitted:1/2/2015 10:48:30 CDT
Last modified:1/2/2015 12:50:23 CDT
Removed (*):3/1/2018 11:44:41 CDT
Database id:119043
Status Flags:TrialDiv
Score (*):43.8195 (normalized score 0.4163)

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.

Lei Zhou writes (2 Jan 2015):  (report abuse)
This is a balanced ternary prime with only 3 non-zero digits (in balanced ternary base).

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 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"3^838360-3^284733+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 3^838360-3^284733+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 17 Calling Brillhart-Lehmer-Selfridge with factored part 33.96% 3^838360-3^284733+1 is prime! (6158.8036s+0.0159s) [Elapsed time: 1.71 hours]
modified2020-07-07 17:30:17
created2015-01-02 10:51:01

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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