A121321 Numbers k such that every digit occurs at least once in k^4.

763, 767, 1066, 1088, 1206, 1304, 1425, 1557, 1561, 1634, 1653, 1712, 1739, 1782, 1818, 1839, 1866, 1878, 1975, 2032, 2045, 2055, 2134, 2192, 2232, 2233, 2299, 2318, 2339, 2347, 2358, 2425, 2441, 2489, 2509, 2511, 2575, 2646, 2682, 2692

Offset: 1

Author

Tanya Khovanova, Aug 25 2006

Keywords

• nonn
• base

Examples

			763^4 = 338920744561 contains every digits at least once.
		

Links

• Lars Blomberg, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A119735 (in k^3), A054038 (in k^2).

Programs

Magma

[ n: n in [0..2695] | Seqset(Intseq(n^4)) eq {0..9} ]; // Bruno Berselli, May 17 2011

Mathematica

Select[Range[2692],ContainsAll[IntegerDigits[#^4],Range[0,9]]&] (* James C. McMahon, Oct 16 2024 *)

PARI

isok(k) = #Set(digits(k^4)) == 10;