17
23
The smallest two-digit prime number whose digits themselves are prime is 23. Both 2 and 3 are prime numbers, and together they form the prime number 23.
The smallest prime number, of course, is 2. The smallest prime number whose digits add up to 2 is, of course, 2. The next-smallest is 11. It is left as an exercise for the reader to determine whether the other numbers whose digits add up to 2 (e.g. 101, 1001, 10001) are prime.
I think it will be 17. The sum of digits is 8, which is the cube of 2.
Smallest is 11 & Largest is 77.
The largest three digit prime number whose digits are all primes is 773.
The largest 3 digit number whose digits are all primes is 777. The largest 3 digit number with different prime digits is 753.
The smallest positive integer is 3.
2310
7777
121
The only two digit numbers whose digits add up to 17 are 89 and 98. Since 98 is an even number, 89 is prime.