If anyone could shed some light on this problem, especially the second part to part a, I would be most grateful!
Sorry? I don't understand, can you not see the inbeded image?
If not, here it is
I'm afraid somebody's hacked the MHF: all over the place appear those annoying frogs inside ice cubes, and
that's what I saw instead your embedded image.
Anyway, following the link above I get...a frog inside an ice cube again! I don't know what's going on.
Perhaps somebody hacked the imageshack site and now we've been infected...
Here's the question:
(a) Let be a prime number. Prove that for any natural number such that the binomial coefficient is divisible by Hence prove that, for any positive integer the integer is divisible by
(b) Let with and let be given by
where is the th prime. Deduce from the Fundamental Theorem of Arithmetic that is injective and hence that is a countable set for each
[EDIT]: Both links and image are fine for me.