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.

A309743 Numbers k such that 9*10^(2*k) + 9*10^k + 1 is prime.

This page as a plain text file.
%I A309743 #19 Jan 07 2023 12:24:48
%S A309743 0,1,2,6,12,245,298,2967,4321,7225,11267
%N A309743 Numbers k such that 9*10^(2*k) + 9*10^k + 1 is prime.
%C A309743 a(12) > 2*10^4. - _Tyler Busby_, Jan 07 2023
%e A309743            19 is prime. ==> a(1) = 0.
%e A309743           991 is prime. ==> a(2) = 1.
%e A309743         90901 is prime. ==> a(3) = 2.
%e A309743       9009001 = 131 * 68771.
%e A309743     900090001 = 421 * 2137981.
%e A309743   90000900001 = 131 * 701 * 980071.
%e A309743 9000009000001 is prime. ==> a(4) = 6.
%o A309743 (PARI) for(k=0, 1e3, if(ispseudoprime(9*100^k+9*10^k+1), print1(k", ")))
%Y A309743 Cf. A309739.
%K A309743 nonn,more
%O A309743 1,3
%A A309743 _Seiichi Manyama_, Aug 15 2019
%E A309743 a(10)-a(11) from _Tyler Busby_, Jan 07 2023