# Find the number

**Number Theory**Level 2

I choose a number 'x' from [45, 454]. Divide it by 7, I got reminder 3.

If x is prime and sum of its digits is less than 12, what is the smallest value of x?

I choose a number 'x' from [45, 454]. Divide it by 7, I got reminder 3.

If x is prime and sum of its digits is less than 12, what is the smallest value of x?

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