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.
%I A067200 #28 Jul 28 2025 08:58:03 %S A067200 0,1,3,5,29,45,63,65,69,71,83,105,113,123,129,143,153,171,173,189,209, %T A067200 215,219,231,243,245,249,263,291,299,305,311,341,363,369,395,419,425, %U A067200 431,435,473,483,491,495,501,503,509,515,533,549,555,561,575,579,639 %N A067200 Numbers m such that m^3 + 2 is prime. %H A067200 Zak Seidov, <a href="/A067200/b067200.txt">Table of n, a(n) for n = 1..1000</a> %F A067200 a(n) = (A144953(n) - 2)^(1/3). - _Zak Seidov_, Sep 16 2013 %t A067200 lst={}; Do[If[PrimeQ[n^3+2], AppendTo[lst, n]], {n, 0, 10^3}]; lst (* _Vladimir Joseph Stephan Orlovsky_, Sep 08 2008 *) %t A067200 Select[Range[0,700],PrimeQ[#^3+2]&] (* _Harvey P. Dale_, Jul 27 2025 *) %o A067200 (PARI) is(n)=isprime(n^3 + 2) \\ _Charles R Greathouse IV_, Apr 29 2015 %Y A067200 Cf. A144953. %Y A067200 Other sequences of the type "Numbers m such that m^k + k - 1 is prime": A000040 (k=1), A005574 (k=2), this sequence (k=3), A125259 (k=4), A125260 (k=5), A125261 (k=6), A125262 (k=7), A125263 (k=8), A125264 (k=10), A125265 (k=11). %K A067200 nonn %O A067200 1,3 %A A067200 _Benoit Cloitre_, Feb 19 2002