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.

A197038 Numbers k such that (2^k + 3^k)/97 is prime.

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%I A197038 #17 Apr 15 2025 11:59:15
%S A197038 12,412,436,916
%N A197038 Numbers k such that (2^k + 3^k)/97 is prime.
%C A197038 a(5) > 10^5. - _Michael S. Branicky_, Apr 15 2025
%e A197038 a(1) = 12 => (2^12+3^12)/97 = 5521 is prime.
%e A197038 (2^a(2)+3^a(2))/97 has 195 digits.
%e A197038 (2^a(3)+3^a(3))/97 has 207 digits.
%e A197038 (2^a(4)+3^a(4))/97 has 436 digits.
%t A197038 lst={}; Do[If[PrimeQ[(2^k+3^k)/97], AppendTo[lst, k]], {k, 1000}]; lst
%t A197038 Select[Range[10000],PrimeQ[(2^#+3^#)/97]&] (* _Harvey P. Dale_, Aug 22 2013 *)
%o A197038 (PARI) is(n)=ispseudoprime((2^n+3^n)/97) \\ _Charles R Greathouse IV_, Jun 13 2017
%Y A197038 Cf. A181628, A181636.
%K A197038 nonn,hard,more
%O A197038 1,1
%A A197038 _Michel Lagneau_, Oct 08 2011