COMMENTS
This For a randomly selected number k, this is the probability that k, k+1, k+2 all are squarefree.
Discussion
Sun Feb 19
16:28
Jon E. Schoenfield: So … okay like this (even if it seems to require an unstated assumption that “randomly” means using a uniform distribution, but that would require a finite interval … which would result in a probability that is different from this constant)?
Discussion
Sun Feb 19
03:45
Vaclav Kotesovec: Jon, see first comment in A059956. I would therefore keep the word "probability", but it would like to reformulate it a bit, e.g. for randomly selected k.
10:09
Alois P. Heinz: there is no need to replace all n's by k's everywhere. The n's were ok here.
COMMENTS
This is the probability that n, nk, k+1, nk+2 all are squarefree.
Discussion
Sun Feb 19
02:14
Jon E. Schoenfield: Is the Comments entry okay? Does it need more qualifiers? It doesn’t say anything about how k is selected — whether it’s generated from a uniform distribution between 1 and an arbitrarily large maximum, or what. Or should it be stated in terms of “density” rather than anything based on “probability”?