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

Author

Tanya Khovanova, Aug 25 2006

Keywords

• nonn
• base

Examples

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

Links

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

Crossrefs

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

Programs

Mathematica

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

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