We present results of a Monte Carlo simulation of the three dimensional Thirring model with the number of fermion flavors N-f varied between 2 and 18. By identifying the lattice coupling at which the chiral condensate peaks, simulations are performed at couplings g(2)(N-f) corresponding to the strong coupling limit of the continuum theory. The chiral symmetry restoring phase transition is studied as N-f is increased, and the critical number of flavors estimated as N-fc=6.6(1). The critical exponents measured at the transition do not agree with self-consistent solutions of the Schwinger-Dyson equations; in particular, there is no evidence for the transition being of infinite order. Implications for the critical flavor number in QED(3) are briefly discussed.
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