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

Author

Greg Dresden, Jul 10 2007

Keywords

• nonn
• base

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

Examples

			2^68 = 295147905179352825856.
		

Links

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

Crossrefs

Cf. A007377, A000079.

Complement of A130696.

Programs

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 *)

PARI

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

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

Extensions

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