Prime Number Related Notation Question

[kenzidelx]

Is there any standard (or reasonably standard) notation for the following function?

Basically, it's

∏(n) - ∏(n-1)

or, which is the same thing,

$\frac{\Lambda(n)}{\log n}$

(where ∏(n) is the Riemann prime counting function and $\Lambda$(n) is the Von Mangoldt function)

Basically, it's the function that is 1/a if n = p^a, where p is some prime, and 0 otherwise.

I use it all the time, and writing $\frac{\Lambda(n)}{\log n}$ for it is pretty unwieldy. Actually, while on the topic, does it have any sort of standard name?

 

[fresh_42]

Not that I'm aware of, but you can simply call it as you want, say $K(n)$ or $\Lambda_0(n)$.