Computer Science SML

Problems - Write a function makeLst of type int -> int list that takes as input a positive integer n and returns the list [1, 2, ..., n]. Your function does not need to work with non-positive integer. - Write a function removeMult of type int list * int -> int list that removes all multiples of a given integer from a list. - Write a function primes of type int -> int list that outputs a list of all prime numbers which are smaller than or equal to a given integer n > 2. You should use the sieve of Eratosthenes and previously defined functions to calculate these numbers. Do not use any pre-implemented functions of the form List.xyz(...)