We report on a search for Standard Model t-channel and s-channel
single top quark production in p anti-p collisions at a center of mass energy
of 1.96 TeV. We use a data sample corresponding to 0.7 fb-1 recorded by
the upgraded Collider Detector at Fermilab (CDFII) and a data sample
corresponding to 370 pb-1 recorded by D0. Both CDF and D0 find no
significant evidence for electroweak top quark production and set upper
limits at the 95% confidence level on the production cross section.