cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A073508 Number of primes == 9 (mod 10) less than 10^n.

This page as a plain text file.
%I A073508 #15 Feb 16 2025 08:32:46
%S A073508 0,5,38,303,2390,19593,166032,1440186,12711333,113761326,1029509896,
%T A073508 9401974132,86516371101
%N A073508 Number of primes == 9 (mod 10) less than 10^n.
%C A073508 This and the related sequences A073505-A073517 and A006880, A073548-A073565 are included because there is interest in the distribution of primes by their initial or final digits.
%H A073508 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ModularPrimeCountingFunction.html">Modular Prime Counting Function</a>
%F A073508 A073505(n) + A073506(n) + A073507(n) + a(n) + 2 = A006880(n).
%e A073508 a(2) = 5 because there are 5 primes == 9 (mod 10) less than 10^2. They are 19, 29, 59, 79 and 89.
%t A073508 c = 0; k = 9; Do[While[k < 10^n, If[PrimeQ[k], c++ ]; k += 10]; Print[c], {n, 1, 10}]
%Y A073508 Cf. A006880, A087633, A073505, A073506, A073507, A073509, A073510, A073511, A073512, A073513, A073514, A073515, A073516, A073517.
%K A073508 base,nonn,more
%O A073508 1,2
%A A073508 _Shyam Sunder Gupta_, Aug 14 2002
%E A073508 Edited by _Robert G. Wilson v_, Oct 03 2002
%E A073508 a(10) from _Robert G. Wilson v_, Dec 22 2003
%E A073508 a(11)-a(13) from _Giovanni Resta_, Aug 07 2018