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Find sum of three smallest prime factors of \(100!+1\)

\[ \large 0.12345678910111213\ldots \]

The number above is an irrational decimal number created by concatenating all the positive integers in ascending order, and it is called Champernowne's constant.

Let ...

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One fateful day, 9 people numbered 1, 2, 3, 4, 5, 6, 7, 8 and 9 are trying to cross a road that contains several deep holes. To pass through ...

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