Talk:Cyclic number

message: Ling Kah Jai (talk) 12:47, 30 September 2008 (UTC)
replies: text: Main article and sub-article relationship has been established.--Ling Kah Jai (talk) 13:46, 10 September 2009 (UTC)
replies: text: No, they haven't, and there's no reason to merge.  — Arthur Rubin  (talk) 15:30, 10 September 2009 (UTC)
thread_title:  Suggest to merge this article with [[repeating decimal]] 

message: It has been proposed that Cyclic permutation of integer be merged with Cyclic number.  I don't recall who proposed it, but a discussion section wasn't set up, until now.  — Arthur Rubin  (talk) 16:28, 23 September 2009 (UTC)
thread_title:  Cyclic permutation of integer 

message: The article says that:
:The following trivial cases are typically excluded:
::single digits, e.g.: 5
::repeated digits, e.g.: 555
But those aren't cyclic numbers anyway, are they?
Also, the article isn't clear on how long of a run it required to call it a cyclic number - does it have to generate all permutations in order to be considered cyclic? Or just some? 212.9.31.12 (talk) 08:34, 26 November 2013 (UTC)
replies: text: Re 5 & repeated digits - this should be thrown out. Or do I miss something? --User:Haraldmmueller 14:41, 7 June 2018 (UTC)
thread_title:  Trivial cases? And more info requested 

message: The following sentence currently appears under Properties of cyclic numbers: "All cyclic numbers are divisible by 'base−1' (9 in decimal) and the sum of the remainder is the a multiple of the divisor. (This follows from the previous point.)"
In addition to it containing an obvious grammatical error... what exactly does it mean? Specifically, the sum of what remainder is a multiple of what divisor? 2A02:8109:9340:136C:309A:2996:B95D:ACF7 (talk) 00:24, 7 June 2014 (UTC)
thread_title:  Unclear point in the section "Properties of cyclic numbers" 

message: I recently "fixed" line 70, where I replaced the 'Ɛ' in this number '076Ɛ45076Ɛ45076Ɛ45' by a 'B', because when using a base greater than 10, it is common practice to use letters A through Z... However, I am now just finding out that there is a notation specifically for duodecimal where ᘔ represents 10, and Ɛ represents 11. It's nice to know that specific symbols exists for base 12, but it seems to me that it might be confusing to use them in one case (base 12), and use letters for any other base greater than 10 in the same page. 'Ɛ' has previously been removed by anonymous with no explanation, probably because it seemed out of place, and then put back by Arthur Rubin without a real explanation. I don't want to revert back my change without first asking other editors what they think. Please comment. Dhrm77 (talk) 03:22, 22 November 2015 (UTC)
thread_title:  Representation of digits in base 12 and other bases 

message: Read in article:
(all successive multiples being cyclic permutations) listed in the Special Cases section above)
Where is that Special Cases section? Jumpow (talk) 17:49, 11 April 2017 (UTC)
thread_title:  Where to find ''Special Cases section''? 

message: I'm not sure I understand "and the sum of the remainder is the a multiple of the divisor" (my emphasis) I'd have thought that the remainder was always less than the divisor, but in any event it can't be both the and a, can it? ϢereSpielChequers 14:53, 2 March 2018 (UTC)
thread_title: and the sum of the remainder is the a multiple of the divisor.

message: It says that "if the digital period of 1/p (where p is prime) is p − 1, then the digits represent a cyclic number".
This is incorrect. It is only if p is a maximal prime number, i.e. 7,17,19, 23, 29, 47...
For all other prime numbers, the period is not cyclic as defined in the previous section 'Details'. In fact, this section explicitly mentions the number 076923, which is the period of 1/13, as not being cyclic. Proton148 (talk) 07:20, 17 October 2023 (UTC)
replies: text: Yes and the period of 1/13 is 6, not 12 (which is 13 - 1).  --JBL (talk) 19:57, 17 October 2023 (UTC)
thread_title:  Cyclic numbers and digital period of primes