Assignment $1($Programming$)$

For a given positive integer n$,$ output the first n primes.

E$.$g$.$ n$=3,$ output: $2,3,5$;

n$=7,$ output: $2,3,5,7,11,13,17.$

$2.$ For a given integer n$>1,$ list all primes not exceeding n$.$

E$.$g$.$ n$=10,$ output: $2,3,5,7$;

n$=16,$ output: $2,3,5,7,11,13.$

$3.$ For a given integer n$>1,$ output its prime factorization. $($Please follow the format strictly$)$

E$.$g$.$ n$=8,$ output: $2^3$;

n$=72,$ output: $2^3*3^2.$

$(2^3$ means $23)$