Permutable Power Minimum Length Representations of Natural Numbers from 0 to 20000

This paper works with representations of natural numbers from 0 to 20000 written in terms of expressions with addition, subtraction and exponents. Digits from 0 to 9 and 1 to 9 are used in such a way that for each number represents with same digits in bases and exponents with different permutations. Some numbers can be written in more than one way, but we have chosen with less possible expression, calling as minimum length. This work extends the author's previous work done in 1 to 9 digits to 0 to 9 digits. Some comparisons among the digits 0 to 9 and 1 to 9 are also given.

Related Organizations

Universidade Federal de Santa Catarina
Brazil

Keywords

Permutable Power, Flexible Power, Natural Numbers, Representations of Numbers

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