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A091020
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Numbers n such that in binary representation n is a substring of the n-th prime.
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3
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1, 5, 6, 15, 31, 32, 34, 39, 49, 50, 81, 82, 1052, 1799, 2119, 2573, 3378, 3447, 52225, 61870, 95752, 186157, 213547, 644695, 750550, 1414920, 2034869, 3768375, 4189897, 24628414, 50359121, 74288549, 87706569, 87706570
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OFFSET
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1,2
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COMMENTS
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The terms of A221860 \ {2,3} form a subsequence of this sequence.
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LINKS
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FORMULA
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EXAMPLE
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A000040(50) = 229: 50->110010, 229->11100101 = 1'110010'1, therefore 50 is a term.
prime(4189897) = 100001111111110111011001001[2] = 2^26 + 4189897. Apart from p=2 and p=3, this is the only prime below primepi(10^8) such that prime(p)-p = 2^k. See A221860 for further examples. - M. F. Hasler, Apr 10 2013
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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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EXTENSIONS
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STATUS
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approved
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