A130694 Exponents of powers of 2 that contain all ten digits.

68, 70, 79, 82, 84, 87, 88, 89, 94, 95, 96, 97, 98, 100, 101, 103, 104, 105, 106, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144

Offset

1,1

Comments

It is believed that every power of 2 beyond 2^86 contains the digit 0.

For k in {51,67,72,76,81,86}, 2^k contains all nonzero digits, but does not contain 0. - Dimiter Skordev, Oct 05 2021

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Formula

A043537(A000079(a(n))) = 10. - Reinhard Zumkeller, Jul 29 2007

a(n) = n + 91 for n >= 78 (conjectured). - Chai Wah Wu, Jan 27 2020

Example

2^68 = 295147905179352825856.

Mathematica

A2 := {}; Do[If[Length[Union[ IntegerDigits[2^ n]]] == 10, A2 = Join[A2, {n}]], {n, 1, 200}]; Print[A2]
Select[Range[200], Min[DigitCount[2^#]]>0&] (* Harvey P. Dale, Aug 03 2019 *)

Prog

(PARI) is_A130694(n)=9<#Set(Vec(Str(1<<n))) \\ M. F. Hasler, Aug 25 2012

Crossrefs

Cf. A007377, A000079.

Complement of A130696.

Sequence in context: A043871 A269987 A058906 * A269748 A153831 A306113

Adjacent sequences: A130691 A130692 A130693 * A130695 A130696 A130697

Keyword

nonn,base

Author

Greg Dresden, Jul 10 2007

Extensions

Displayed terms double-checked by M. F. Hasler, Aug 25 2012

Status

approved