greatest two-digit prime number

What is the greatest two digit prime number whose two digits are prime, and whose two digits have a sum that is also a prime number?
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no such number 1) it can't be 11 as 1 is not a prime number 2) 2 is the only even prime number while the rest is odd numbered 3) the sum of two odd number makes an even number which in this case excludes 11
by Level 3 User (4.4k points)

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