Write a user$-$defined function that finds all the prime numbers between two numbers m and n$.$ Name the function pr$=$prime$($m$,$n$),$ where the input arguments m and n are positive integers, and the output argument pr is a vector with the prime numbers. If n $<=$ m is entered when the function is called, the error message $$The value of n must be larger than the value of m$.$ is displayed. If a negative number or a number that is not an integer is entered when the function is called, the error message $$The input argument must be a positive integer.$$ is displayed. Use the function with:

$($a$)$ prime$(12,80)$

$($b$)$ prime$(21,63\mathrm{.}5)$

$($c$)$ prime$(100,200)$

$($d$)$ prime$(90,50)$

Note: When there is an error, make your output pr $=$ 'Error'.