Thursday, December 01, 2011

[ekcmqhko] Unique representations of number

The same number may be uniquely represented in three ways:
1. In "unary", i.e., in the form of 1 + 1 + 1 + ... + 1
2. As a prime factorization
3. In an arbitrary base N

The uniqueness is obvious (except #2), but fascinatingly different, involving different arithmetic operations.

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