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Search: id:A130696
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| A130696 |
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Powers of 2 that do not contain all ten digits. |
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+0
1
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 83, 85, 86, 90, 91, 92, 93, 99, 102, 107, 108, 153, 168
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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It is believed that 168 is the last number in this list; 2^168 is a 51-digit number that contains all the digits except (oddly enough) 2.
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EXAMPLE
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20 is in this list because 2^20 = 1048576, which doesn't contain all ten digits.
68 is the first number not in this list; 2^68 = 295147905179352825856, and this contains all ten digits.
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MATHEMATICA
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A2 := {}; Do[If[Length[Union[ IntegerDigits[2^ n]]] != 10, A2 = Join[A2, {n}]], {n, 1, 3000}]; Print[A2]
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CROSSREFS
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Cf. A007377.
Sequence in context: A090108 A090109 A090107 this_sequence A085736 A055643 A122079
Adjacent sequences: A130693 A130694 A130695 this_sequence A130697 A130698 A130699
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KEYWORD
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fini,full,nonn
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AUTHOR
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Greg Dresden (dresdeng(AT)wlu.edu), Jul 10 2007
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