Writing an integer n 2 as n = p?1 1 p? 2 · · · p?k k where p1 < p2 < · · · < pk are its prime factors, for any real 2 (0, 1), we define the -positioned prime factor of n > 1 as p() (n) := pmax(1,b(k+1)c). We obtain the limit distribution of p() (n).
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