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.

A364078 Numbers k such that (18^k - 1)^2 - 2 is prime.

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%I A364078 #12 Jan 05 2024 15:55:18
%S A364078 2,8,30,98,110,185,912,2514,4074,10208,15123,19395,69354
%N A364078 Numbers k such that (18^k - 1)^2 - 2 is prime.
%C A364078 Such primes are sometimes called Carol primes of base 18.
%H A364078 Prime-Wiki, <a href="https://www.rieselprime.de/ziki/Carol-Kynea_prime">Carol-Kynea prime</a>.
%H A364078 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Near-SquarePrime.html">Near-Square Prime</a>.
%o A364078 (PARI) for(k=1,1200,ispseudoprime((18^k-1)^2-2)&&print1(k,", "))
%Y A364078 Cf. A091515 (b=2), A100901 (b=6), A100903 (b=10), A364076 (b=12), A100905 (b=14), A364080 (b=20), A100907 (b=22).
%Y A364078 Cf. A364079.
%K A364078 nonn,hard,more
%O A364078 1,1
%A A364078 _Jeppe Stig Nielsen_, Jul 03 2023