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


 
(define (almost-prime? p k)
	(= k (length (prime-factors p))))
 
(define (almost-primes k nmax)
	(take (filter (rcurry almost-prime? k) [2 ..]) nmax))
 
(define (task (kmax 6) (nmax 10))
	(for ((k [1 .. kmax]))
		(write 'k= k '|)
		(for-each write (almost-primes k nmax))
		(writeln)))
 