An effective field theory for the three-body system with large scattering l
ength is applied to three-body recombination to a weakly bound s-wave state
in a Bose gas. Our model independent analysis demonstrates that the three-
body recombination constant alpha is not universal, but can take any value
between zero and 67.9ha(4)/m, where a is the scattering length. Other low-e
nergy three-body observables can be predicted in terms of a and alpha. Near
a Feshbach resonance, alpha should oscillate between those limits as the m
agnetic field B approaches the point where a --> infinity. In any interval
of B over which a increases by a factor of 22.7, alpha should have a zero.