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A342308 Numbers whose fifth powers are zeroless pandigital. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

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

EXAMPLE

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

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} &]

PROG

(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

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

CROSSREFS

Cf. A000584, A050289.

Sequence in context: A238667 A216451 A139506 * A147171 A146824 A256348

Adjacent sequences:  A342305 A342306 A342307 * A342309 A342310 A342311

KEYWORD

nonn,base

AUTHOR

Tanya Khovanova, Mar 08 2021

STATUS

approved

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Last modified October 15 21:35 EDT 2021. Contains 348034 sequences. (Running on oeis4.)