A342308 Numbers whose fifth powers are zeroless pandigital.

193, 353, 398, 678, 695, 697, 744, 768, 776, 793, 868, 883, 966, 968, 983, 1045, 1075, 1079, 1089, 1097, 1098, 1114, 1129, 1148, 1186, 1193, 1212, 1291, 1311, 1403, 1405, 1442, 1544, 1576, 1584, 1643, 1715, 1734, 1746, 1775, 1795, 1853, 1868, 1888, 1917, 1944, 1953, 1971, 1974, 1996

Offset: 1

Author

Tanya Khovanova, Mar 08 2021

Keywords

• nonn
• base

Comments

Numbers n such that A000584(n) is in { A050289 }.

Examples

			193^5 = 267785184193, and contains all the digits 1 through 9.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000584, A050289.

Programs

Maple

q:= n-> is({convert(n^5, base, 10)[]}={$1..9}):
select(q, [$1..2000])[];  # Alois P. Heinz, Mar 08 2021

Mathematica

Select[Range[2000],
Sort[ Union[IntegerDigits[#^5]]] == {1, 2, 3, 4, 5, 6, 7, 8, 9} &]

PARI

isok(m) = my(d=digits(m^5)); vecmin(d) && (#Set(d) == 9); \\ Michel Marcus, Mar 09 2021

Python

A342308_list = [n for n in range(1,10**5) if set(str(n**5)) == {'1', '2', '3', '4', '5', '6', '7', '8', '9'}] # Chai Wah Wu, Mar 08 2021