Talk:Greatest prime dividing the n-th cubefree number

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Revision as of 19:20, 6 March 2024 by Horst (talk | contribs) (→‎The logic of cubes_before(): analog to Totient function?)

The logic of cubes_before()

Fairly obviously there are 31 multiples of 8(2^3) less than 249, and 9 multiples of 27(3^3), however of course we have to account for 8*27 = 216 being in both. I'm pretty sure it's fairly standard fare, but the logic of accounting for >=3 such clashes is eluding me. --Petelomax (talk) 02:07, 6 March 2024 (UTC)

Would something like a modified "Totient function" something adequate.
counts the integers up to a given positive integer n that are relatively prime to n
Totient_function#C
Instead testing with primes than only with primes cubed.Needed to be tested. --Horst (talk) 19:20, 6 March 2024 (UTC)