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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.

A364076 Numbers k such that (12^k - 1)^2 - 2 is prime.

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%I A364076 #18 Feb 16 2025 08:34:06
%S A364076 3,29,51,7824,15456,22614,28312,47014,68835
%N A364076 Numbers k such that (12^k - 1)^2 - 2 is prime.
%C A364076 Such primes are sometimes called Carol primes of base 12.
%H A364076 Prime-Wiki, <a href="https://www.rieselprime.de/ziki/Carol-Kynea_prime">Carol-Kynea prime</a>.
%H A364076 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Near-SquarePrime.html">Near-Square Prime</a>.
%t A364076 Select[Range[1500],PrimeQ[(12^#-1)^2-2]&] (* _James C. McMahon_, Jan 04 2024 *)
%o A364076 (PARI) for(k=1,1200,ispseudoprime((12^k-1)^2-2)&&print1(k,", "))
%Y A364076 Cf. A091515 (b=2), A100901 (b=6), A100903 (b=10), A100905 (b=14), A364078 (b=18), A364080 (b=20), A100907 (b=22).
%Y A364076 Cf. A364077
%K A364076 nonn,hard,more
%O A364076 1,1
%A A364076 _Jeppe Stig Nielsen_, Jul 03 2023