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.

A219038 Numbers k such that 3^k - 14 is prime.

This page as a plain text file.
%I A219038 #22 Nov 09 2023 20:03:20
%S A219038 3,4,5,8,17,19,29,124,304,640,1205,1549,1805,2492,2945,13075,20237,
%T A219038 102763,173755,173828,174040
%N A219038 Numbers k such that 3^k - 14 is prime.
%C A219038 a(22) > 2*10^5. - _Robert Price_, Aug 31 2013
%t A219038 Do[If[PrimeQ[3^n - 14], Print[n]], {n, 3, 3000}]
%t A219038 Select[Range[1000], PrimeQ[3^# - 14] &] (* _Alonso del Arte_, Nov 10 2012 *)
%o A219038 (PARI) is(n)=isprime(3^n-14) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y A219038 Cf. Sequences of numbers k such that 3^k + m is prime:
%Y A219038   (m = 2) A051783, (m = -2) A014224, (m = 4) A058958, (m = -4) A058959,
%Y A219038   (m = 8) A217136, (m = -8) A217135, (m = 10) A217137, (m = -10) A217347,
%Y A219038   (m = 14) A219035, (m = -14) A219038, (m = 16) A205647, (m = -16) A219039,
%Y A219038   (m = 20) A219040, (m = -20) A219041, (m = 22) A219042, (m = -22) A219043,
%Y A219038   (m = 26) A219044, (m = -26) A219045, (m = 28) A219046, (m = -28) A219047,
%Y A219038   (m = 32) A219048, (m = -32) A219049, (m = 34) A219050, (m = -34) A219051. Note that if m is a multiple of 3, 3^k + m is also a multiple of 3 (for k greater than 0), and as such isn't prime.
%K A219038 nonn,more
%O A219038 1,1
%A A219038 _Nicolas M. Perrault_, Nov 10 2012
%E A219038 a(16)-a(21) from _Robert Price_, Aug 31 2013