One of the miracles of Topological Hochschild Homology is that THH(F_p) is very simple: it is just the algebra of polynomials in one variable of degree 2. However, the existing proofs of this fact are not simple at all. I will present yet another proof that uses quite a few additional general structures THH is known to have (multiplication, a trace functor structure), but almost nothing specific to F_p.