Find the $2$ -digit prime numbers, in which both the digits are also prime numbers.

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Solution

Finding the $2$ -digit prime numbers, in which both the digits are also prime numbers:
The prime numbers are the numbers which is having only two factors that is one and itself.
The prime numbers are $2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 .$
In these prime numbers, both digits are also prime matches to the number $23, 37, 53$ and $73 .$
Hence, the $2$ -digit prime number in which both the digits are also prime is $23, 37, 53$ and $73 .$

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