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In this problem we are interested only in *prime prime powers*, i.e., numbers
of the form , where and are prime numbers.
For a given number , we want to find the -th smallest
prime prime power greater than .

The first and only line of the input contains two integers and (, ).

The first and only line of output should contain one integer , such that is the -th smallest prime prime power greater than .

For the input data:

22 1

the correct result is:

25

whereas for the input data:

22 2

the correct result is:

27

*Task author: Jakub Radoszewski.*