A091128 Number of primes of the form 8k+5 less than 10^n.

1, 6, 43, 314, 2399, 19623, 166204, 1440534, 12712271, 113764516, 1029517296, 9401972490, 86516425996, 801235712049

Offset

1,2

Comments

Computed by T. D. Noe, Dec 19 2003.

Links

Table of n, a(n) for n=1..14.

Bernhard Helmes, Distribution of Primes

Eric Weisstein's World of Mathematics, Modular Prime Counting Function

Mathematica

p = Select[Table[8 i + 5, {i, 0, 10^7}], PrimeQ[#] &]; Table[Count[p, x_ /; x < 10^n], {n, 7}] (* Robert Price, May 28 2019 *)

Crossrefs

Cf. A091126, A091127, A091129.

Sequence in context: A014989 A015552 A091129 * A349302 A025594 A098665

Adjacent sequences: A091125 A091126 A091127 * A091129 A091130 A091131

Keyword

nonn,more

Author

Eric W. Weisstein, Dec 19 2003

Extensions

a(10) from Robert G. Wilson v, Dec 22 2003

a(11)-a(14) from Bernhard Helmes (pi(AT)devalco.de), Apr 21 2010

Status

approved