A prime number is an integer greater than that has no positive divisors other than and itself.

We call a number megaprime if it is prime and all of its individual digits are prime. For example, is megaprime because it is prime and all its digits ( and ) are prime; however, is not megaprime because it is not prime (it's divisible by and ), and is not megaprime because it has a non-prime digit ( is not prime).

Given two long integers, and , find and print the total number of megaprime numbers in the inclusive range between and .