olymmath

Putnam 2009 B1

  • Session B

Show that every positive rational number can be written as a quotient of products of factorials of (not necessarily distinct) primes. For example, 109=2!⋅5!3!⋅3!⋅3!.\frac{10}{9} = \frac{2!\cdot 5!}{3!\cdot 3! \cdot 3!}.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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