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This paper reports that Coulomb explosions taken place in the experiment of heteronuclear deuterated methane clusters ((CD4)2) in a gas jet subjected to intense femtosecond laser pulses (170mJ, 70fs) have led to table-top laser driven DD nuclear fusion. The clusters produced in supersonic expansion had an average size of about 5nm in radius and the laser intensity used was 3×1017W/cm2.The measured maximum and average energies of deuterons produced in the laser--cluster interaction were 60 and 13.5keV, respectively. From DD collisions of energetic deuterons, a yield of 2.5(±0.4)×104 fusion neutrons of 2.45MeV per shot was realized, giving rise to a neutron production efficiency of about 1.5×105 per joule of incident laser pulse energy. Theoretical calculations were performed and a fairly good agreement of the calculated neutron yield with that obtained from the present experiment was found.