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Powers of 5 with digit sum also a power of 5.
10

%I #18 Dec 24 2022 04:55:57

%S 1,5,390625,

%T 24308653429145084793531500210078610314805672534067059113676236776522261070450716567124784465334818816238150740449697195799672044813632965087890625

%N Powers of 5 with digit sum also a power of 5.

%C Next terms are 5^977, 5^1007, 5^4938, 5^24709, 5^24733, 5^24853. - _Sascha Kurz_, Mar 18 2002

%t Select[5^(Range[209]-1),IntegerQ[Log[5,Total[IntegerDigits[#]]]]&] (* _Stefano Spezia_, Dec 23 2022 *)

%Y Cf. A066001, A067499, A067500, A067501.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Feb 11 2002