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 A091020 Numbers n such that in binary representation n is a substring of the n-th prime. 3
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A007088(a(n)) is a substring of A004676(a(n)). The terms of A221860 \ {2,3} form a subsequence ofthis sequence. LINKS Giovanni Resta, Table of n, a(n) for n = 1..62 (terms < 10^12) Re: 2^k - prime(p) or prime(p) - 2^k ?, SeqFan mailing list, Apr 10 2013 FORMULA a(n) = A049084(A091021(n)), A000040(a(n)) = A091021(n). EXAMPLE A000040(50) = 229: 50->110010, 229->11100101 = 1'110010'1, therefore 50 is a term. prime(4189897) = 100001111111110111011001001 = 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 CROSSREFS Sequence in context: A247962 A241307 A185876 * A019070 A019071 A028285 Adjacent sequences:  A091017 A091018 A091019 * A091021 A091022 A091023 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Dec 14 2003 EXTENSIONS a(22)-a(34) from Donovan Johnson, May 08 2012 STATUS approved

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Last modified September 18 06:26 EDT 2020. Contains 337166 sequences. (Running on oeis4.)