N’th Smart Number
Easy Accuracy: 19.0% Submissions: 200 Points: 2

Smart number is a number which has at least three distinct prime factors. Given a number n, find the n’th smart number.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. The first line of each test case contains the integer N.

Output:
Print the n'th smart number for each test case in a new line.

Constraints:
1 <= T <= 100
1 <= N <= 106

Example:
Input:
3
1
50
1000

Output:
30
273
2664

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