Known millisecond pulsars have periods longer than 1.558 ms. Recycled
in binary systems, neutron stars can attain very short spin periods. I
n this Letter, we investigate the expected properties of the milliseco
nd pulsar distribution by simulating synthetic populations under diffe
rent assumptions for the neutron star equation of state and the decay
of the magnetic field. We find evidence that a tail in the distributio
n of millisecond pulsars may exist at periods shorter than those obser
ved.