The greatest two-digit prime number whose digits are a **prime **and **sum **to a prime number is 59. ;
The greatest two-digit prime number whose digits are prime and sum to a prime number is 59. To find it, we examined two-digit primes, checked the primality of their digits, and only found 59 meets all conditions. Prime digits to consider were 2, 3, 5, and 7.
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