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A091127 Number of primes of the form 8k+3 less than 10^n. 4

%I #19 Mar 29 2020 09:33:46

%S 1,7,44,311,2409,19653,166161,1440544,12712340,113763027,1029511402,

%T 9401994474,86516411563,801235467678

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

%C Computed by _T. D. Noe_, Dec 19 2003.

%H Bernhard Helmes, <a href="http://www.devalco.de/table_8.htm">Distribution of Primes</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ModularPrimeCountingFunction.html">Modular Prime Counting Function</a>

%t 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 *)

%Y Cf. A091126, A091128, A091129.

%K nonn,more

%O 1,2

%A _Eric W. Weisstein_, Dec 19 2003

%E a(10) from _Robert G. Wilson v_, Dec 22 2003

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

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)