A$($i$)$ Generate a random number using equation: Xi$=(171*$X$0+83)$mod $373$ where seed value $($X$0)$ is $51$

$($ii$)$ Pick the $1$st $2-$digit prime number that appears in the resulting Xi sequence. Use this prime number to generate a Halton sequence comprising $200$ random numbers.

A$.$ Provide pseudo$-$code for generating Halton sequence. Discuss each step of the pseudo$-$code.