In order to find out as precisely as possible the site percolation threshold in the square lattice, a Fortran high speed Monte Carlo program has been developed (2.2-2.4 mu s per site on CDC Cyber 76) for simulating site percolation in L*L square lattice with L=50 to 50000. Using L=750 to 16000 we found p c =0.59277+or-0.00005. This value is within the confidence limits of values published earlier (p c =0.5931+or-0.0006, p c =0.5923+or-0.0007 and p c =0.5927+or-0.0002). Three test checks with L=50000 confirmed this result within the above error bars.
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T Gebele (1984) studied this question.
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