If a two digit number is a prime number, the sum of the numbers is a prime number. Moreover, if the two digits are multiplied by 3, 5 and 7 respectively, the sum of the numbers obtained is still a prime number, and the two digits satisfying the condition are______ ．

If a two digit number is a prime number, the sum of the numbers is a prime number. Moreover, if the two digits are multiplied by 3, 5 and 7 respectively, the sum of the numbers obtained is still a prime number, and the two digits satisfying the condition are______ ．

Let this number be X. because the sum of numbers is prime, the numbers on the individual and ten digits must be odd and even different. Because the sum of numbers obtained by multiplying the two digits by 3 is still prime, so the sum of numbers of 3x must be 3. Because the original number is two digits, 3x must be three digits to make the sum of numbers 3. The number that meets the condition is: 111201102111 △ 3 × 5 = 185, 1 + 8 +5 = 14 is not a prime number, not in line with the meaning of the question, 201 △ 3 × 5 = 335, 3 + 3 + 5 = 11, is a prime number, 201 △ 3 × 7 = 469, 4 + 6 + 9 = 19 is a prime number, in line with the meaning of the question, 102 △ 3 × 5 = 170, 1 + 7 + 0 = 8, is not a prime number, not in line with the meaning of the question, so the answer is: 67