A121322 Numbers m such that m^5 contains every digit at least once.

309, 418, 462, 474, 575, 635, 662, 699, 702, 713, 737, 746, 747, 748, 765, 771, 795, 838, 875, 876, 892, 897, 943, 945, 976, 1009, 1012, 1018, 1033, 1072, 1104, 1107, 1137, 1143, 1149, 1167, 1174, 1183, 1187, 1195, 1203, 1233, 1248, 1249, 1269, 1292

Offset

1,1

Links

T. D. Noe, Table of n, a(n) for n = 1..10000

Example

309^5 = 2817036000549 contains every digit at least once.

Mathematica

Select[Range@1500, 1+Union@IntegerDigits@(#^5)==Range@10&] (* Hans Rudolf Widmer, Nov 02 2021 *)

Prog

(PARI) isok(m) = #Set(digits(m^5)) == 10; \\ Michel Marcus, Nov 02 2021
(Python)
def ok(n): return len(set(str(n**5))) == 10
print([m for m in range(1293) if ok(m)]) # Michael S. Branicky, Nov 02 2021

Crossrefs

Cf. A054038 (with m^2), A119735 (with m^3).

Sequence in context: A031782 A060980 A061881 * A067730 A183627 A184544

Adjacent sequences: A121319 A121320 A121321 * A121323 A121324 A121325

Keyword

nonn,base

Author

Tanya Khovanova, Aug 25 2006

Status

approved