a) Design a function Goldbach( ) in text-code format thatakes an even integer n, and finds a way of writing it as a sum of two primes. {Hint: Consider every way to write n as a sum of the form x + (n...

a) Design a function Goldbach( ) in text-code format thatakes an even integer n, and finds a way of writing it as a sum of two primes. {Hint: Consider every way to write n as a sum of the form x + (n - x), and use a built-in function to test whether x and n -x are both prime}.

b) Show that every even number between 2 and 100 can be written as the sum of two primes.