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%I #14 Feb 19 2021 09:49:22
%S 2,5,8,11,101,1001,10001,100001,1000001,10000001,100000001,1000000001,
%T 10000000001,100000000001,1000000000001,10000000000001,
%U 100000000000001,1000000000000001,10000000000000001,100000000000000001,1000000000000000001,10000000000000000001
%N Numbers k such that sum of digits of k^3 is 8. Multiples of 10 are omitted.
%C All numbers of form 10..01 are eligible. Are there larger terms of other forms?
%C All terms up to 10^20 are of this form, except for 2, 5 and 8. - _Max Alekseyev_, Feb 11 2008
%C Numbers k such that k > 1 and sum of digits of k^3 is less than 9. Multiples of 10 are omitted. - _Farideh Firoozbakht_, Oct 18 2013
%e 2^3=8, 5^3=125, 8^3=512, 11^3=1331, 101^3=1030301, 1001^3=1003003001, 10001^3=1000300030001.
%t Do[If[Total[IntegerDigits[m^3]]==8&&Mod[m,10]>0,Print[m]],{m,100000}]
%o (PARI) isok(k) = (k % 10) && (sumdigits(k^3) == 8); \\ _Michel Marcus_, Feb 19 2021
%K nonn,base
%O 1,1
%A _Zak Seidov_, Feb 11 2008
%E a(9) onwards from _Max Alekseyev_, Feb 11 2008