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# Primality test for BigIntegers

Problem Description

A prime number is a natural number greater than 1 whose only positive divisors are 1 and itself. For example, the first six prime numbers are 2, 3, 5, 7, 11, and 13.

Given a large integer, n , use the Java BigInteger class’ isProbablePrime method to determine and print whether it’s prime or not prime.

Problem Constraints

n contains at-most 100 digits.

Input Format

A single line containing a numeric string denoting the large integer n, (the number to be checked).

Output Format

If n is a prime number, print prime; otherwise, print not prime.

Example Input

Input 1:

13

Example Output

Output 1:

`prime`
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## Discussion

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