Putnam 2005 A1

Session A

Show that every positive integer is a sum of one or more numbers of the form $2^r 3^s$ , where $r$ and $s$ are nonnegative integers and no summand divides another. (For example, 23 = 9 + 8 + 6.)

Curated text Kedlaya Putnam archive. Quoted with source.

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