in the discussion on John Medeiros' work, I was interested in the following passage, made by Franz Gnaedinger:
"And that's what we look out for: explanations of pi revealing the nature of this number, my favorite one being Euler's infinite multiplication involving the infinite sequence of primes ...".
Can someone give some more detail on this explanation (time and space allowed permitting), as, for instance, where does Euler treat about infinite multiplication? And what are the implications of infinite multiplication for the "nature" of pi? I warmly thank you, davide.