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


require 'prime'
 
def almost_primes(k=2)
  return to_enum(:almost_primes, k) unless block_given?
  1.step {|n| yield n if n.prime_division.sum( &:last ) == k }
end
 
(1..5).each{|k| puts almost_primes(k).take(10).join(", ")}