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A231787 Count of the first 10^n primes containing at least one 1's digit. 0
4, 46, 468, 5325, 65575, 737451, 7948534, 83168848, 844383541, 8470537436, 85169381579 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..11.

FORMULA

a(n) ~ 10^n. - Charles R Greathouse IV, May 21 2014

EXAMPLE

a(1)=4 because there are 4 primes not greater than 29 (the 10th prime) that contain a 1's digit.  Namely: 11, 13, 17, 19.

MATHEMATICA

cnt = 0; Table[Do[p = Prime[k]; If[MemberQ[IntegerDigits[p], 1], cnt++], {k, 10^(n - 1) + 1, 10^n}]; cnt, {n, 5}] (* T. D. Noe, Nov 13 2013 *)

Module[{nn=7, p}, p=Table[If[DigitCount[p, 10, 1]>0, 1, 0], {p, Prime[ Range[ 10^nn]]}]; Table[Total[Take[p, 10^k]], {k, nn}]] (* The program generates the first 7 terms of the sequence; to generate more, increase the value of nn but the program may take a long time to run. *) (* Harvey P. Dale, Sep 27 2019 *)

CROSSREFS

Cf. A231726-A231790, A231792-A231796, A091634-A091643, A231412, A228413-A228421.

Sequence in context: A279523 A194488 A132932 * A173716 A320229 A097952

Adjacent sequences:  A231784 A231785 A231786 * A231788 A231789 A231790

KEYWORD

more,nonn,base

AUTHOR

Robert Price, Nov 13 2013

STATUS

approved

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Last modified February 29 02:35 EST 2020. Contains 332353 sequences. (Running on oeis4.)