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A275533 Least positive number m such that m^k for k = 1..n have no digit 1. 0
2, 2, 2, 74, 94, 305, 2975 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
It appears that there are no more terms in this sequence.
If they exist, a(8) > 127231981 and a(9) > 107895940. - J.W.L. (Jan) Eerland, Nov 26 2022
LINKS
EXAMPLE
2975^k, k = 1..7 = 2975, 8850625, 26330609375, 78333562890625, 233042349599609375, 693300990058837890625, 2062570445425042724609375 (all are oneless), while 2975^8 = 6136147075139502105712890625 has 5 ones.
MATHEMATICA
Table[{n, m=1; Monitor[Parallelize[While[True, If[Length[DeleteCases[Table[If[MemberQ[IntegerDigits[m^k], 1]==False, k, a], {k, 1, n}], a]]==n, Break[]]; m++]; m], m]}, {n, 1, 7}] (* J.W.L. (Jan) Eerland, Nov 26 2022 *)
CROSSREFS
Cf. A052383 (numbers without 1 as a digit).
Sequence in context: A266713 A226745 A102384 * A304463 A066736 A324302
KEYWORD
nonn,base,more
AUTHOR
Zak Seidov, Jul 31 2016
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)