A   k-Almost-prime   is a natural number   



n


{\displaystyle n}

   that is the product of   



k


{\displaystyle k}

   (possibly identical) primes.



Example

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.



Task

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}

.



Related tasks

   Semiprime
   Category:Prime Numbers


link "factors"
 
procedure main()
    every writes(k := 1 to 5,": ") do
        every writes(right(genKap(k),5)\10|"\n")
end
 
procedure genKap(k)
    suspend (k = *factors(n := seq(q)), n)
end