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Mathematics, 05.04.2020 16:54 barboursj

The number $ 2013 $ is expressed in the form$$ 2013=\frac{a_1!a_2!\cdots a_m!}{b_1!b_2!\cdots b_n!}, $$where $ a_1\ge a_2\ge\ldots\ge a_m $ and $ b_1\ge b_2\ge\ldots\ge b_n $ are positive integers. What is the smallest possible value for $a_1+b_1$?

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The number $ 2013 $ is expressed in the form$$ 2013=\frac{a_1!a_2!\cdots a_m!}{b_1!b_2!\cdots b_n!},...

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