%I
%S 101723,4697081,1361471,5772427,18168923,35514203,562489981,780433519,
%T 1006447529,228344981,10187739647,1951104049,496920113,2246645239,
%U 2596274977,10431345763,2862382343
%N Smallest prime with power closest to having all digits n times, with one more of 1, 2, 4, 5, 7 or 8.
%C Like A218169 but with an extra copy, rather than one less copy, of some digit. The exponents here are 2, 3, 5, 6, 7, 8, 8, 9, 10, 12, 11, 13, 15, 15, 16, 16 and 18. A217368 holds the sequence for powers of composites  necessarily  with equal counts of all digits.
%e Unlike the parallel sequence, with 2^29 being a digit shy of having exactly one of each digit, the smallest prime to have a power with two copies of some digit and one of all others is 101723, whose square is 10347568729.
%Y Cf. A218169, A217368.
%K nonn,base
%O 1,1
%A _James G. Merickel_, Oct 22 2012
