Question $1(50$ Points$)$: Write a python program that performs the following:

It takes two integer num $($lowLimit and hilimit$)$ as user input. Here, $2$ lowLimit $$ hilimit $999999.$

Count all prime numbers between lowLimit and hilimit $($including themselves$),$ and print the count.

You must write a function countPrimes$($int lowLimit, int hiLimit$),$ which will perform the count operation.

You must test the following two test cases with your code and attach the output.

$($loLimit $=2,$ HiLimit $=20000),$ Output: $?$

$($loLimit $=1001,$ HiLimit $=1001),$ Output:?

$($LoLimit $=12,$ HiLimit $=120000),$ Output: $?$