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


for k = 1 to 5
{
   n=2
   count = 0
   print["k=$k:"]
   do
   {
      if length[factorFlat[n]] == k
      {
         print[" $n"]
         count = count + 1
      }
      n = n + 1
   } while count < 10
 
   println[]
}