Given a number n, the task is to calculate its primorial. Primorial of a number is similar to factorial of a number. In primorial, not all the natural numbers get multiplied; only prime numbers are multiplied to calculate the primorial of a number. It is denoted with P#.
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.
Print the primorial of number n. Since the answer can be quite large print it modulo 109+7.
1<= T <=100
1<= N <=100000
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