- Prepare
- Interview Preparation Kit
- Miscellaneous
- Time Complexity: Primality

# Time Complexity: Primality

# Time Complexity: Primality

A *prime* is a natural number *greater than* that has no positive divisors other than and itself. Given integers, determine the primality of each integer and return `Prime`

or `Not prime`

on a new line.

**Note:** If possible, try to come up with an primality algorithm, or see what sort of optimizations you can come up with for an algorithm. Be sure to check out the *Editorial* after submitting your code.

**Function Description**

Complete the *primality* function in the editor below.

primality has the following parameter(s):

*int n:*an integer to test for primality

**Returns**

*string:*`Prime`

if is prime, or`Not prime`

**Input Format**

The first line contains an integer, , the number of integers to check for primality.

Each of the subsequent lines contains an integer, , the number to test.

**Constraints**

**Sample Input**

```
STDIN Function
----- --------
3 p = 3 (number of values to follow)
12 n = 12 (first number to check)
5 n = 5
7 n = 7
```

**Sample Output**

```
Not prime
Prime
Prime
```

**Explanation**

We check the following integers for primality:

- is divisible by numbers other than and itself (i.e.: , , , ).
- is only divisible and itself.
- is only divisible and itself.