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Q: What is the smallest sum of nine nonzero digits prime number?

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The smallest prime number in which all of the digits are also prime is 2.The smallest multi-digit prime number in which all of the digits are also prime is 23.

It is: 11 because 1+1 = 2 which is the smallest prime number

23

It is: 101

It is: 10007

It is 2 which also is the only even 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.

23

13

17

11

The answer is 1. The smallest prime is 2 and the greatest prime (of however many digits) must be odd. The remainder of ANY odd number when divided by 2 must be 1.

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