A231793 Count of the first 10^n primes containing at least one 6's digit.

0, 10, 281, 3304, 39155, 445067, 5257963, 56668992, 607124788, 6426731531, 68792548151

Offset

1,2

Links

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

Formula

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

Example

a(2)=10 because there are 10 primes not greater than 541 (the 100th prime) that contain a 6's digit.  Namely: 61, 67, 163, 167, 263, 269, 367, 461, 463, 467.

Mathematica

cnt = 0; Table[Do[p = Prime[k]; If[MemberQ[IntegerDigits[p], 6], cnt++], {k, 10^(n - 1) + 1, 10^n}]; cnt, {n, 5}] (* T. D. Noe, Nov 13 2013 *)

Crossrefs

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

Sequence in context: A025035 A012243 A186270 * A213403 A077281 A239774

Adjacent sequences: A231790 A231791 A231792 * A231794 A231795 A231796

Keyword

more,nonn,base

Author

Robert Price, Nov 13 2013

Status

approved