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.
%I A073506 #15 Feb 16 2025 08:32:46 %S A073506 1,7,42,310,2402,19665,166230,1440474,12712499,113765625,1029509448, %T A073506 9401979904,86516427946 %N A073506 Number of primes == 3 (mod 10) less than 10^n. %C A073506 Also Pi(n,5,3) %C A073506 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 A073506 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ModularPrimeCountingFunction.html">Modular Prime Counting Function</a> %F A073506 A073505(n) + a(n) + A073507(n) + A073508(n) + 2 = A006880(n). %e A073506 a(2)=7 because there are 7 primes == 3 (mod 10) less than 10^2. They are 3, 13, 23, 43, 53, 73 and 83. %t A073506 c = 0; k = 3; Do[While[k < 10^n, If[PrimeQ[k], c++ ]; k += 10]; Print[c], {n, 1, 10}] %Y A073506 Cf. A006880, A087631, A073505, A073507, A073508, A073509, A073510, A073511, A073512, A073513, A073514, A073515, A073516, A073517. %K A073506 base,nonn,more %O A073506 1,2 %A A073506 _Shyam Sunder Gupta_, Aug 14 2002 %E A073506 Edited by _Robert G. Wilson v_, Oct 03 2002 %E A073506 a(10) from _Robert G. Wilson v_, Dec 22 2003 %E A073506 a(11)-a(13) from _Giovanni Resta_, Aug 07 2018