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Persistence in different bases

Persistence of a number

Sascha Kurz 09.10.2001


Abstract: d(n,b) id the product of the digits, in base b, of n. Example: d(329,10)=3*2*9=54. The Persistence p(n,b) id the number of steps you can nest the above function d to n, so that the last result has only 1 digit. Example: p(329,10)=3.

1. Introduction
2. Minimal numbers with Persistence p
3. Bounds on pmax(b)
4. Behaviour of pmax(b)
5. Literature
6. Links
7. Downloads



Last Update: by Sascha Kurz
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