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 A130694 Exponents of powers of 2 that contain all ten digits. 10
 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 (list; graph; refs; listen; history; text; internal format)
 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<

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Last modified March 31 20:59 EDT 2023. Contains 361673 sequences. (Running on oeis4.)