Math Magic is a web site devoted to
original mathematical recreations. If you have a math puzzle, discovery, or observation, please e-mail me about it. You can also send answers to the problem of the month. |

Math Magic Archive |

**Problem #1.** How can we write P_{n} as a product of k positive integers as to minimize their sum?

**Problem #2.** How can we write P_{n} as a ratio of factorials a_{1}! ··· a_{j}! / b_{1}! ··· b_{k}! as to minimize the sum Σ a_{i} + Σ b_{i} of the numbers used?

**Problem #3.** What is the largest palindromic factor of P_{n}?

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