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Talk:Polydivisible number

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Reliable sources / inline citations?

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I noticed there are no citations for specific facts mentioned in this article -- for example, the claim of the exact number of all polydivisible numbers in existence, with no link to a proof that none larger exist or anything else substantial. The sources give a list of "all" polydivisible numbers (which is just a list of numbers, with no other text) and an article about the nine-digit problem. I attempted to find a better source on Google Scholar, but found no relevant results -- in fact almost no results at all for the term 'polydivisible number', indicating this is not even necessarily a standard mathematical term. I question therefore the reliability of this article and wonder if I should put flags on it indicating this -- but am going to double-check the relevant Wikipedia standards before doing so. (Whoops almost forgot my signature) Liger42 (talk) 20:08, 31 January 2014 (UTC)[reply]

(edit: I suppose it is "obvious" that every polydivisible number of length n>1 has as its start a polydivisible number of length n-1, indicating the number should decrease and eventually reach 0, but this is original research on my part, i.e. i just pulled it out of my head.) — Preceding unsigned comment added by Liger42 (talkcontribs) 20:11, 31 January 2014 (UTC)[reply]

Interesting numbers in different bases

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With regards to 381654729 being the only solution in base 10 which uses every digit only once, I decided to generalise it to see what solutions exists in other bases.

E.g. in base 6 the only one polydivisible number which uses the numbers 1-5 is 14325_6..

Below are some more solutions

Base Solutions (complete up to base 10)
2 12
3 No solution (an error in my program allowed odd bases to have solutions)
4 1234

3214

5 No solution (an error in my program allowed odd bases to have solutions)
6 143256

543216

7 No solution (an error in my program allowed odd bases to have solutions)
8 32541678

52347618

56743218

9 No solution (an error in my program allowed odd bases to have solutions)
10 38165472910
11 No solution (an error in my program allowed odd bases to have solutions)
12 No solution.
13 No solution (an error in my program allowed odd bases to have solutions)
14 9C3A5476B812D14
15+ No solution

DC (talk) 10:39, 24 October 2016 (UTC)[reply]

See OEISA163574, there may be no solution for any base b > 14.

Besides, your list is not right: 123 is 510, which is not divisible by 2.