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A119393 Numbers n such that the index of the prime and the prime share some digit. 2
7, 11, 13, 14, 18, 23, 29, 30, 31, 32, 33, 34, 37, 38, 41, 52, 54, 55, 56, 62, 63, 73, 74, 75, 78, 80, 81, 82, 83, 84, 92, 94, 95, 97, 100, 103, 105, 107, 109, 110, 112, 113, 114, 115, 116, 121, 125, 126, 127, 128, 129, 130, 131, 132, 133, 135, 136, 137, 138, 139, 140 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Intersection of A000027&A000040 which share a digit.

EXAMPLE

7 is a member since the seventh prime is 17 with the index and the prime sharing the digit 7.

MATHEMATICA

Select[Range@140, Intersection[IntegerDigits@#, IntegerDigits@ Prime@# ] != {} &]

PROG

(Haskell)

import Data.List (intersect)

a119393 n = a119393_list !! (n-1)

a119393_list = filter

   (\x -> not $ null $ show x `intersect` (show $ a000040 x)) [1..]

-- Reinhard Zumkeller, Sep 14 2014

CROSSREFS

Cf. A000027, A000040, A243355 (complement).

Sequence in context: A051660 A187040 A028784 * A155501 A271500 A271499

Adjacent sequences:  A119390 A119391 A119392 * A119394 A119395 A119396

KEYWORD

nonn,base,less

AUTHOR

Robert G. Wilson v, Jul 25 2006

STATUS

approved

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Last modified October 16 06:11 EDT 2021. Contains 348035 sequences. (Running on oeis4.)