  Direct numerical simulations of incompressible nonhelical randomly forced MHD
turbulence are used to demonstrate for the first time that the fluctuation
dynamo exists in the limit of large magnetic Reynolds number Rm>>1 and small
magnetic Prandtl number Pm<<1. The dependence of the critical Rm_c for dynamo
on the hydrodynamic Reynolds number Re is obtained for 1<Re<6700. In the limit
Pm<<1, Rm_c is about three times larger than for the previously well
established dynamo at large and moderate Prandtl numbers: Rm_c<200 for Re>6000
compared to Rm_c~60 for Pm>=1. Is is not as yet possible to determine
numerically whether the growth rate of the magnetic energy is ~Rm^{1/2} in the
limit Rm->infinity, as it should if the dynamo is driven by the inertial-range
motions at the resistive scale.
