I have developed a formula for almost primes which is far more accurate asymptotically than Landau's well known
$$\pi_k(n) \sim \left( \frac{n}{\log n} \right) \frac{(\log\log n)^{k-1}}{(k - 1)!}$$
(Landau's is not good for high $n$, whereas the one I have been working on actually gets more accurate the higher $n$ becomes - see here.)
Is this of any significance?
Just out of interest, I have included some plots up to $n=9$:
where actual is green, Landau is blue, & mine is red.
(Note: I have changed the scale in each one.)
Yes, this is of significance. Why don't you write a paper and submit it to a journal?