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Talk:Highly totient number

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Please clarify

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This "These numbers have more ways of being expressed as products of numbers of the form p - 1 and their products than smaller integers." needs to be clarified. Bubba73 You talkin' to me? 03:12, 29 February 2012 (UTC)[reply]

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Rewrite and Table

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This article tends to meander outside of, and over itself on, giving a definition of totient numbers, or just as much, highly totient numbers. It relies on the phi function and a handful of OEIS sequences that it does not want to give explanation for. Reexplaining what a function serves to do and how is an appropriate detail, especially since the article finds multiple ways to restate that totient numbers are a solution to Euler's totient function or are represented by the OEIS's sequence of totient numbers.

Quote: "[1] is also the only odd highly totient number (indeed, the only odd number to not be a nontotient)"

It is very obvious that if the number 1 is the only member of both Group A and Group B, that all other members of Group A are not in Group B. The extra interruption and double negative only serve to make the sentence more confusing. If there is only one box colored pink, this phrasing essentially goes on to say, "indeed, it is the only pink object which isn't anything but a box".

About the table: for a page on specifically Highly totient numbers, listing all values of n up to 50 and every value of k for them and counting all of them isn't very efficient. Besides corresponding to a sequence in the OEIS, how is a person meant to use the 30 blank-zero table entries? Out of a total of 50? This table could reduce in size 60% and implicitly carry all the same information. Cam0mac (talk) 13:15, 4 October 2025 (UTC)[reply]