Aaron (apix) wrote in moppers,
Aaron
apix
moppers

An interesting problem?

I am slightly curious as to how others might solve the following problem:

Let a/b = 2 + sum(k = 1..p-2)((k+1)^(k-1)/k^(k+1)), where a and b are relatively prime positive integers and p is prime. Prove that p divides a.

I created the problem by deriving it from other results, so I have a proof, but it is probably not a very natural proof; I do not know of any very intuitive reason why this result would hold. Any ideas?
  • Post a new comment

    Error

    default userpic
  • 0 comments