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.

A296443 Numbers k such that 2*10^(2k)-2*10^k+1 is prime.

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%I A296443 #30 Aug 08 2024 09:50:24
%S A296443 1,2,6,7,8,315,667,5125,7301,10500,11096
%N A296443 Numbers k such that 2*10^(2k)-2*10^k+1 is prime.
%C A296443 Numbers of this form divide 4*10^(4k)+1.
%C A296443 a(8) > 5000. - _Jon E. Schoenfield_, Dec 16 2017
%C A296443 a(12) > 25000. - _Michael S. Branicky_, Aug 08 2024
%e A296443 181, 19801, 1999998000001, 199999980000001, and 19999999800000001 are prime, while 1998001=277*7213, 199980001=13*41*457*821, and 19999800001=53*5953*63389.
%t A296443 ParallelMap[If[PrimeQ[2*10^(2 #) - 2*10^# + 1], #, Nothing] &, Range@ 4000] (* _Robert G. Wilson v_, Dec 13 2017 *)
%o A296443 (PARI) isok(k) = isprime(2*10^(2*k)-2*10^k+1); \\ _Michel Marcus_, Dec 13 2017
%Y A296443 See A296444 for 2*10^(2k)+2*10^k+1.
%K A296443 nonn,more
%O A296443 1,2
%A A296443 _Patrick A. Thomas_, Dec 13 2017
%E A296443 a(6)-a(7) from _Michel Marcus_, Dec 13 2017
%E A296443 a(8)-a(11) from _Michael S. Branicky_, Mar 31 2023