A k-Almost-prime number is a natural number n, that is the exact multiple of k primes.A curious thing about its Python code is that I had to introduce a name terms for a partial result:
So, for example if k is 1, then this is the series of prime numbers themselves. If k is 2 then this is the series of semiprimes.
The task is to write a function/method/subroutine/... that generates k-almost primes and use it to create a table of the first ten members of k-Almost primes for 1 < = K < = 5.
StopIteration swallowingThe following will not work as any StopIteration exception raised by trying to pull more prime decomposition values from the decompose operator will just stop the iterator when we need the exception to propagate to the except clause and so return False: