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A174332 Least prime, q, such that the n-th prime, p, is a proper binary sub-string. 4
5, 7, 11, 23, 23, 29, 71, 79, 47, 59, 127, 101, 83, 107, 191, 107, 239, 251, 269, 199, 293, 317, 167, 179, 353, 229, 359, 431, 439, 227, 383, 263, 787, 557, 599, 607, 631, 419, 1447, 347, 359, 727, 383, 449, 709, 797, 467, 479, 739, 919, 467, 479, 967, 503, 769 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = A208238(A000040(n)) = A208241(A000040(n)). - Reinhard Zumkeller, Feb 14 2013

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

a(1)=5 since 2_10 = 10_2 is a sub-string of 5_10 = 101_2.

MATHEMATICA

f[n_] := Block[{k = n + 1, p = StringTake[ ToString@ IntegerDigits[ Prime@n, 2], {2, -2}]}, While[q = StringTake[ ToString@ IntegerDigits[ Prime@k, 2], {2, -2}]; StringPosition[q, p] == {}, k++ ]; Prime@k]; Array[f, 55]

PROG

(Haskell)

a174332 = a208238 . a000040  -- Reinhard Zumkeller, Feb 14 2013

CROSSREFS

Cf. A000040, A004676, A007088.

Sequence in context: A128841 A057733 A318078 * A248595 A266233 A124111

Adjacent sequences:  A174329 A174330 A174331 * A174333 A174334 A174335

KEYWORD

base,nonn

AUTHOR

Robert G. Wilson v, Mar 15 2010

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)