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Su ppose the best algorithm known today for finding the prime factors of an n-bit number runs in time 2 c*n*3 (log 2 n)^2/3 .

Su ppose the best algorithm known today for finding the prime factors of an n-bit number runs in time 2 c*n*3 (log2 n)^2/3 . Assuming 4Ghz computers and c = 1 (and that the units of the given expression are clockcycles), estimate the size of numbers that cannot be factored for the next 100 years.

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