Question: The integer p = 458009 is prime and = 2 has order 57251 in ZP*. Use the POLLARD RHO ALGORITHM to compute the discrete logarithm

The integer p = 458009 is prime and = 2 has order 57251 in ZP*. Use the POLLARD RHO ALGORITHM to compute the discrete logarithm in ZP* of = 56851 to the base . Take the initial value x0 = 1, and define the partition (S1, S2, S3) as follows S1 = {x Z458009 : x 1 (mod 3)} S2 = {x Z458009 : x 0 (mod 3)} S3 = {x Z458009 : x 2 (mod 3)} Find the smallest integer i such that xi = x2i, and then compute the desired discrete logarithm.

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