99
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No it would be 2-3 digets depending on the number.
97=largest 2 digit prime
That is correct. Considering the largest double digit whole number is 99. Unless of course, you mean adding the two digits of a double digit number alongside the two digits of another double digit number, then yes, you will have a 4 digit number. Depends how you interpret the question, and your creativity.
The largest 2-digit prime number is 97.
The largest 2 digit composite number is 99.