A076690 Nearest integer to average of the smallest and largest prime factors of n (0.5 is rounded to 1).
2, 3, 2, 5, 3, 7, 2, 3, 4, 11, 3, 13, 5, 4, 2, 17, 3, 19, 4, 5, 7, 23, 3, 5, 8, 3, 5, 29, 4, 31, 2, 7, 10, 6, 3, 37, 11, 8, 4, 41, 5, 43, 7, 4, 13, 47, 3, 7, 4, 10, 8, 53, 3, 8, 5, 11, 16, 59, 4, 61, 17, 5, 2, 9, 7, 67, 10, 13, 5, 71, 3, 73, 20, 4, 11, 9, 8, 79, 4, 3, 22, 83, 5, 11, 23, 16
Offset: 2
Examples
The smallest and largest prime factors of 6 are 2 and 3, respectively, the average of which is 2.5, rounding off to 3. Hence a(6) = 3.
Programs
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Mathematica
f[n_] := Module[{p, l}, p = Transpose[FactorInteger[n]][[1]]; l = Length[p]; Ceiling[(p[[1]] + p[[l]])/2]]; Table[f[i], {i, 2, 100}]