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Primorial of a number
Easy Accuracy: 12.49% Submissions: 16 Points: 2

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#.

 

Example 1:

Input:
N = 5
Output: 30
Explanation:
Priomorial = 2 * 3 * 5 = 30
As a side note, factorial is 2 * 3 * 4 * 5

 

Example 2:

Input:
N = 12
Output: 2310


Your Task:  
You don't need to read input or print anything. Your task is to complete the function primorial() which takes the integer N as input parameters and returns the primorial of number n. Since the answer can be quite large print it modulo 109+7.

Expected Time Complexity: O(N*sqrt(N))
Expected Auxiliary Space: O(1)

 

Constraints:
1 ≤ N ≤ 105

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Primorial of a number

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