Q: What is a two digit prime number with each digit a prime number and the sum a prime number?

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The number is 23.

sum

The 3 largest 2 digit prime numbers are 83, 89, and 97. The sum is 269

995

17, 53, 71

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There are four of each.

The number is 23.

The 3 largest 2 digit prime numbers are 83, 89, and 97. The sum is 269

sum

67

16

995

For the tens digit to be a prime number then it must equal 2, 3, 5 or 7. There are four 3-digit prime numbers that fit the above condition and also have the tens and units digits forming a 2-digit prime number. 131, 137, 173, 179. The person supplying the question may like to sum the various combinations.

17, 53, 71

No two digit prime number exists that is a multiple of 7. All two digit numbers that are multiples of 7 are compositenumbers.

31

-5