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


function kPrime(n, k)
    f = 0
    for i = 2 to n
        while n mod i = 0
            if f = k then return False 
            f += 1
            n /= i
        end while
    next i
    return f = k
end function
 
for k = 1 to 5
    print "k = "; k; " :";
    i = 2
    c = 0
    while c < 10  
        if kPrime(i, k) then
            print rjust (string(i), 4);
            c += 1
        end if
        i += 1
    end while
    print
next k
end