Problem Statement

A   k-Almost-prime   is a natural number

n

{\displaystyle n}

that is the product of

k

{\displaystyle k}

(possibly identical) primes.

1-almost-primes,   where

k

1

{\displaystyle k=1}

,   are the prime numbers themselves. 2-almost-primes,   where

k

2

{\displaystyle k=2}

,   are the   semiprimes.

Write a function/method/subroutine/... that generates k-almost primes and use it to create a table here of the first ten members of k-Almost primes for

1 <= K <= 5

{\displaystyle 1<=K<=5}

.

Let's start with the solution:

primes:=Utils.Generator(Import("sieve").postponed_sieve);
(p10:=ar:=primes.walk(10)).println();
do(4){
   (ar=([[(x,y);ar;p10;'*]] : Utils.Helpers.listUnique(_).sort()[0,10])).println();
}