(R)over-bar15 is of general type

We prove that the moduli space (R) over bar (15) of Prym curves of genus 15 is of general type. To this end we exhibit a virtual divisor (D) over bar (15) on (R) over bar (15) as the degeneracy locus of a globalized multiplication map of sections of line bundles. We then proceed to show that this locus is indeed of codimension one and calculate its class. Using this class, we can conclude that K-(R) over bar 15 is big. This complements a 2010 result of Farkas and Ludwig: now the spaces (R) over bar (g) are known to be of general type for g >= 14.