Find my number

Number Theory Level 2

My number:

  1. Is a 3-digit number.
  2. All its digits are prime digits.
  3. A number formed by its 1st 2 digits is prime.
  4. So is the number formed by its last 2 digits.
  5. It is the smallest number satisfying the above conditions.

Find it.

Rem: The digits in my number do not have to be distinct


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