Proof of the Alon-Tarsi Conjecture for n=2rp

The Alon-Tarsi conjecture states that for even n, the number of even latin squares of order n diiers from the number of odd latin squares of order n. Zappa 6] found a generalization of this conjecture which makes sense for odd orders. In this note we prove this extended Alon-Tarsi conjecture for prime orders p. By results of Drisko 2] and Zappa 6], this implies that both conjectures are true for any n of the form 2 r p with p prime.