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%I #26 Jul 28 2017 10:18:16
%S 1,2,3,4,5,7,8,9,6,11,13,16,17,19,23,25,27,29,31,32,37,41,43,47,49,53,
%T 59,61,64,67,71,73,79,81,83,89,97,10,12,14,15,18,20,21,22,24,26,28,33,
%U 34,35,36,38,39,40,44,45,46,48,50,51,52,54,55,56,57,58,62,63
%N Sort the positive integers according to 3 keys, which are, in order of priority, number of digits, omega (A001221), and the number itself.
%H Alois P. Heinz, <a href="/A290019/b290019.txt">Table of n, a(n) for n = 1..9999</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%t Table[SortBy[Range[10^(n - 1), 10^n - 1], PrimeNu], {n, 2}] // Flatten (* _Michael De Vlieger_, Jul 20 2017 *)
%o (PARI) upto(t10nm1) = {my(v, res = []); for(i=1, t10nm1, res = concat(res, vecsort(vector(9*10^(i-1), j, k=j+10^(i-1)-1;[omega(k),k]))));vector(#res, i, res[i][2])}
%Y Cf. A001221, A055642, A290020.
%K nonn,base
%O 1,2
%A _David A. Corneth_, Jul 19 2017
%E Definition clarified by _Giovanni Resta_, Jul 27 2017
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