Talk:Senary

message: So this article implies, if p is prime, then p mod6 = 1 or p mod 6 = 5 ... can we get a link to an article or reference for this? linas 01:10, 1 Apr 2005 (UTC)
replies: text: Dohh, never mind, its obvious. linas 00:38, 10 August 2005 (UTC)
thread_title: prime numbers

message: All prime numbers besides 2 and 3 end in either 1 or 5.
Did the definition of Prime Number change? What happened to only being divisible by 1 or itself? What about 13, 17, 19, 23, 29, 37, 43, 47, 53, 59, 67, 73, 79, 83, 89, 97, 103, 107, 109, 113, ...?  malachid69 08:14, 9 Aug 2005 (UTC)
replies: text: That's base 10 not base 6. The statement is that p mod 6 is congruent to 1 or 5. The article wording should be changed to say "congruent" exactly in order to avoid this confusion. linas 00:38, 10 August 2005 (UTC)
thread_title: errors

message: There is a big mistake in this page. No number ending in 5 (except for 5 itself) is a prime number. Every single number with 5 as the final digit can be devided by 5. A correct list of prime numbers would be 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, etc.
I also noticed that there are quite some known perfect numbers that don't have 44 as the final two digits, like 28, 496 and 8128.
I don't know who wrote this page, but his maths are worse than mine, and people should not try to write articles about things they don't know about.
I am not great at maths, so I have no idea how I should correct this error and I don't have a clue what Senary would be good for, but I just thought I'd write this down here so someone who does know can correct the error here and then delete my message.
(The above message was posted on the main article page by . I'm just moving it here. - ulayiti (talk) 12:00, 20 August 2005 (UTC)
replies: text: The poster didn't have a clue. However, everyone who reads this article seems to trip over this, so I will try to fix the article in just a moment. linas 15:56, 20 August 2005 (UTC)
replies: text: OK, I think I fixed it for good. linas 16:15, 20 August 2005 (UTC)
thread_title:  big errors 

message: This entry is almost incomprehensible for a layman. As a layman who knows nothing about numbers and number systems, maybe someone could edit this so that someone who doesn't know what base 6 is could understand it? Isn't that the point of Wikipedia? This entry is useless to someone with limited knowledge of math terminology, symbology. —The preceding unsigned comment was added by 131.96.28.51 (talk) 00:58, 27 April 2007 (UTC)
thread_title:  Confusion 

message: This means nothing. Every number (2n-1)2n-1 with n = odd number > 2 has 44 as the final digits in base 6. The even perfect numbers are only a part of these numbers. --Zumthie (talk) 23:46, 10 December 2008 (UTC)
replies: text: See base 2:
 	{| class="prettytable"  	 
 	|colspan="9" align="center" style="background:#E9E9E9;"| even perfect numbers 	 
 	|- align="center" 	 
 	!base 2 	 
 	|110 	 
 	|11100 	 
 	|111110000 	 
 	|1111111000000 	 
 	|1111111111111000000000000 	 
 	|111111111111111110000000000000000 	 
 	|1111111111111111111000000000000000000 	 
 	|… 	 
 	|- align="center" 	 
 	!	 
 	|(22-1)21 	 
 	|(23-1)22 	 
 	|(25-1)24 	 
 	|(27-1)26 	 
 	|(213-1)212 	 
 	|(217-1)216 	 
 	|(219-1)218 	 
 	|…
 	|- align="center" 	 
 	!base 10 	 
 	|6
 	|28
 	|496
 	|8128
 	|33550336
 	|8589869056
 	|137438691328
 	|… 	 
 	|- 	 
        |colspan="9" align="center" style="background:#E9E9E9;"| In base 2 the first part of an even perfect number is a Mersenne prime, digits 1, the rest of the digits are 0. 	 
 |}
--Zumthie (talk) 23:00, 12 December 2008 (UTC)
thread_title:  ''"Furthermore, all known perfect numbers besides 6 itself have 44 as the final two digits"'' 

message: Just wondering who proved that all prime numbers end in 1 or 5 when written in base 6 (or whether it is proved).
The article states it without any sources or proof. 
A citation would also be useful for the claim that all known perfect numbers (when written in senary) end in 44. 122.107.15.145 (talk) 11:18, 31 March 2010 (UTC)
replies: text: It is analogous to the reason that no prime numbers in decimal end in 2, 4, 5, 6, 8. Here's a proof: any number in base 6 is of the form x = a_0 + a_1 * 6 + a_2 * 6^2 + a_3 * 6^3 + ... = a_0 + 6 * (a_1 + a_2 * 6 + a_3 * 6^2 + ...) = a_0 + 6k, where k is an integer (here a_n are the senary digits). Thus if a_0 is divisible by 2 or 3, then x = a_0 + 6k is divisible by 2 or 3. 1 and 5 are the only senary digits that are not divisible by 2 or 3, so all primes (other than 2 and 3) have last senary digit 1 or 5. Cheers, — sligocki (talk) 01:22, 1 April 2010 (UTC)

text: It is well known, that all even perfact numbers are the product of a Mersenne prime and half of one plus that Mersenne prime. The powers of four besides 1 end in either 04 or 24 in senary. This can be proven by induction. Doubling these numbers and subtacting 1, leads to a set of numbers that contains all Mersenne primes besides 3 and they end in 11 or 51 respectively. When the respective numbers are multiplied one always get a number ending in 44. 44 is an automorphic number in senary just as 76 is in decimal. Karl (talk) 12:14, 1 April 2010 (UTC)
replies: text:  Thanks. The proof should be included in the article though. 122.107.15.145 (talk) 12:35, 13 April 2010 (UTC)
thread_title:  proof 

message: At "Fractions" section I see senary digits. Please, where I can find a senary calculator? Not a base convertor, a calculator. For example what is senary for 1.618...(phi in base 10)? :) Bigshotnews 19:01, 16 October 2010 (UTC)
replies: text: The golden ratio begins 1.34125455435343145134223514... in base 6, or 1.m8yzrxravmena... in base 36 (compressed senary). Wolfram Alpha should work as a calculator in whatever base you want (just type "in base 6" or something similar at the end of your query). Double sharp (talk) 15:06, 29 January 2015 (UTC)
thread_title:  Senary calculator please 

message: Hi editors,
I tried to add a link to djvrilyuk.com/sex.html, containing senary addition and multiplication tables, and a simple converter also. The link was deleted by Quiddity, see
[]
I still think it should be posted.
Yura.vrilyuk (talk) 16:15, 3 July 2013 (UTC)
replies: text: I don't see a problem posting this link, though we do not want to end up with links to every converter calculator, etc. Bcharles (talk) 15:24, 22 July 2013 (UTC)
thread_title:  senary addition and multiplication tables 

message: I think the lead needs a major rewrite.  In addition to what I just changed (using standard modular arithmetic notation), there needs to be a break separating the basic mathematical properties from the summary.  I'm not sure the proof that all primes "end" in 1 or 5 should be in the article, but I'm sure it shouldn't be in the lead.  — Arthur Rubin  (talk) 19:01, 23 July 2013 (UTC)
replies: text: I moved most of the lead into a section on 'mathematical properties', reordered the sections and rewrote the lead section.  I am lost reading the standard modular notation.  Can you add some brief explication. Bcharles (talk) 23:45, 24 July 2013 (UTC)
thread_title:  Lead 

message: I'm not sure, but I think it would be more logical to redirect "Base 36" to Base36 rather than Senary#Base 36 as senary compression. WikiWisePowder (talk) 20:17, 9 November 2015 (UTC)
thread_title:  Base 36 Redirect 

message: This isn't from an official source - just my own thoughts: the 4 symbols on the PlayStation Controller can be used to represent the digits 1 to 4 according to how many lines they have: circle: 1, cross: 2, triangle: 3, square: 4. Then 5 could be a pentagon or pentagram (I prefer the pentagram). Then 0 would mean 0 lines - so a dot or an empty space. (10 years ago someone also realized the connection between the 4 digits and the symbols here Zephyr103 (talk) 01:46, 8 May 2019 (UTC)
thread_title:  The Playstation controller and the symbols for the digits 1 to 5 

message: The quote in the intro “[Senary] has a high degree of mathematical properties for its size.” seems quite vague with the implication being that because it has a ‘lot’ of ‘mathematical properties,’ it is a superior base system. Perhaps Senary does have a lot of properties, but imho, the reader shouldn't be told about them in this vague and semi-mystical way. Am I off base here? And could someone with more number theoretical knowledge either remove the claim or find a better way to convey the sentiment?
Bhbuehler (talk) 17:06, 19 September 2021 (UTC)
replies: text: I agree.  "high degree of mathematical properties" sounds like an empty statement.  How would you measure the degree of mathematical properties of something?  The two following sentences give concrete arguments in favor of using senary, so I don't think the article would lose anything if this one were deleted. Justin Kunimune (talk) 17:24, 19 September 2021 (UTC)
thread_title:  Vague/Dubious Claim in Intro 

message: 27 is my favorite number.  You can ask me why here. 22:35, 16 September 2022 (UTC)
thread_title:  Divisibility Tests from Duodecimal 

message: "4,738,381,338,321,616,895" is the major number who corresponds to the 12-character alphanumber "ZZZZZZZZZZZZ" (base 36). The total of alphanumbers from "0" to "ZZZZZZZZZZZZ" is of "4,738,381,338,321,616,896". The dodecadigital alphanumbers are used in passwords, for example.
* Number-Base Radix Converter (Sooeet)
179.111.146.84 (talk) 14:26, 5 November 2023 (UTC)
thread_title: Major alphanumeric combination "ZZZZZZZZZZZZ"