A091126 Number of primes of the form 8k+1 less than 10^n.

0, 5, 37, 295, 2384, 19552, 165976, 1439970, 12711220, 113758759, 1029502984, 9401951850, 86516283187, 801235071623

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 + 1, {i, 0, 10^7}], PrimeQ[#] &]; Table[Count[p, x_ /; x < 10^n], {n, 7}] (* Robert Price, May 28 2019 *)

Crossrefs

Cf. A091127, A091128, A091129.

Sequence in context: A089303 A164595 A046636 * A066381 A078253 A006442

Adjacent sequences: A091123 A091124 A091125 * A091127 A091128 A091129

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