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A046297
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Numbers k such that 2^k contains 2^11=2048 as its largest proper substring of the form 2^m.
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0
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103, 267, 279, 287, 404, 503, 511, 515, 657, 685, 745, 763, 883, 890, 922, 946, 973, 991, 1011, 1087, 1114, 1121, 1164, 1197, 1209, 1272, 1274, 1283, 1302, 1316, 1328, 1360, 1378, 1432, 1445, 1478, 1509, 1511, 1542, 1565, 1571, 1584, 1627, 1672, 1678
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OFFSET
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1,1
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LINKS
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EXAMPLE
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2^103 = 10141{2048}01825835211973625643008.
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MATHEMATICA
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sub2[n_] := Block[{s = ToString[2^n], k = n-1}, While[k >= 0 && ! StringContainsQ[ s, ToString[2^k]], k--]; k]; Select[Range[1000], sub2[#] == 11 &] (* Giovanni Resta, Oct 14 2019 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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