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%I #5 May 21 2016 14:21:52
%S 2,46,22196,7870163103377
%N 2..a(n) is the smallest range in which the most common value of omega(k) is n, where omega(k) is the number of prime divisors of k (A001221).
%e Among the numbers from 2 to a(2)=46 the most common value of omega is 2. Indeed, there are 21 numbers for which omega is 1 (primes or prime powers) and 22 for which omega is 2.
%t a[n_] := Block[{c1=0, c2=0, v, k=1}, While[c2<=c1, v=PrimeNu[++k]; If[v == n-1, c1++]; If[v == n, c2++]]; k]; Array[a, 3]
%Y Cf. A001221, A273381.
%K nonn,more
%O 1,1
%A _Giovanni Resta_, May 21 2016