Question

Is this convergent

Answer 1

wow that is so hard.. I don't think I can help!! :{

Answer 2

\[\huge \prod_{k=1}^\infty p_k^{\frac{\mu(p_k \#) p_k}{3-2k}}\]

where \(p_k\) is the kth prime, with \(p_1=2\)
and \(\mu(n)\) is the Mobius function

https://en.wikipedia.org/wiki/M%C3%B6bius_function#Definition


and \(n\#\) is the primorial function (product of all primes less than or equal to n, like a factorial)

And assuming this number converges, what is its arithmetic derivative?