A091127 Number of primes of the form 8k+3 less than 10^n.

1, 7, 44, 311, 2409, 19653, 166161, 1440544, 12712340, 113763027, 1029511402, 9401994474, 86516411563, 801235467678

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 + 3, {i, 0, 10^7}], PrimeQ[#] &]; Table[Count[p, x_ /; x < 10^n], {n, 7}] (* Robert Price, May 28 2019 *)

Crossrefs

Cf. A091126, A091128, A091129.

Sequence in context: A355347 A254660 A093738 * A166775 A221541 A327680

Adjacent sequences: A091124 A091125 A091126 * A091128 A091129 A091130

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