Description

This problem is a programming version of Problem 49 from projecteuler.net
The arithmetic sequence, 1487,4817,8147 in which each of the terms increases by 3330 is unusual in two ways: (i) each of the three terms are prime, and, (ii) each of the 4-digit numbers are permutations of one another.
There are no arithmetic sequences made up of three 1 −, 2 −, or 3 − digit primes, exhibiting this property.
You are given N and K, find all K size sequences where first element is less than N and K elements are permutations of each other, are prime and are in AP(Arithmetic Progression).
Print the answer as concatenated integer formed by joining K terms.
Input Format
Input contains two integers N and K
Output Format
Print the answer corresponding to the test case. each in new line in numerically sorted order of smallest value.
Constraints
2000 ≤ N ≤ 1000000
3 ≤ K ≤ 4
Sample Input

Sample Output