A067502 Powers of 5 with digit sum also a power of 5.

1, 5, 390625, 24308653429145084793531500210078610314805672534067059113676236776522261070450716567124784465334818816238150740449697195799672044813632965087890625

Offset: 1

Author

Amarnath Murthy, Feb 11 2002

Keywords

• base
• nonn

Comments

Next terms are 5^977, 5^1007, 5^4938, 5^24709, 5^24733, 5^24853. - Sascha Kurz, Mar 18 2002

Crossrefs

Cf. A066001, A067499, A067500, A067501.

Programs

Mathematica

Select[5^(Range[209]-1),IntegerQ[Log[5,Total[IntegerDigits[#]]]]&] (* Stefano Spezia, Dec 23 2022 *)