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What is the prime factorization of 24

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What is the prime factorization of 34

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What is the smallest two-digits prime number whose digits are also prime themselves?

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What is the smallest two digit prime number whose digits themselves are prime?

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What is the prime number that its digits adds up to the smallest prime number?

The smallest prime number, of course, is 2. The smallest prime number whose digits add up to 2 is, of course, 2. The next-smallest is 11. It is left as an exercise for the reader to determine whether the other numbers whose digits add up to 2 (e.g. 101, 1001, 10001) are prime.


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