Primes Containing the Digit 7

Problem Description

Little J learned about prime numbers yesterday and found them great fun. He wants to find some special primes. Since his lucky number is $7$, he wants to know which primes in a given range have a $7$ in any digit. Tell him!

Input Format

Two integers $m, n$ ($0 \le m \le n \le 10^7$).

Output Format

Output, in ascending order, all primes in the interval [m, n] that contain the digit $7$ in any position.

If no prime in this interval satisfies the requirement, output none.

Sample Input 1

1 20

Sample Output 1

7 17

Sample Input 2

20 30

Sample Output 2

none