ON NUMBERS WHOSE EACH DIGIT IS PRIME AND SUM OF DIGITS IS PRIME

摘要

This paper deals with the problem of finding the positive integers whose each digit as well as the sum of digits are all primes. Some properties of such numbers have been derived. We have found all such numbers below-10,000. In order to find such numbers with more number of digits, the concept of generators has been introduced which minimizes the calculation and labor significantly.