A103173 Numbers k such that the decimal digits of k are not present in k^2, k^3, or k^4.

2, 3, 7, 8, 53, 77

Offset: 1

Author

Labos Elemer, Feb 28 2005

Keywords

• base
• nonn
• more

Comments

No more terms exist below 10^100. The last five digits of any larger term must be 75557, 85557, 88787, 88188, 88988 or 98988. - Hagen von Eitzen, Jun 16 2009

Examples

			For k=77, the 1st through 4th powers are {77, 5929, 456533, 35153041}.
Digits of k appear first in the 5th powers {32, 243, 16807, 32768, 418195493, 2706784157}.
		

Crossrefs

Cf. A029783, A029790.

Programs

Mathematica

Select[Range[10^3],ContainsNone[IntegerDigits[#],Union[IntegerDigits[#^2],IntegerDigits[#^3],IntegerDigits[#^4]]]&] (* James C. McMahon, Jan 17 2024 *)