Deflection Radii of an Electron and Proton in Magnetic Field

Deflection of charged particles in a magnetic field can be derived by equating centripetal force and magnetic force, resulting in the equation r = mv/qB = p/qB. Accordingly, if an electron and proton enter a magnetic field with equal momentum, then the above equation implies that they will deflect with equal radii. However, due to the far lesser mass of the electron, would not the centripetal force produce a greater acceleration (a = F/m) on the electron, decreasing its radius of deflection?