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.

A153636 Primes of the form 4x^3 + 27y^2, with x>0.

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%I A153636 #6 Jun 06 2013 13:55:19
%S A153636 31,59,283,499,743,1327,1399,1579,1823,2687,3271,3299,3371,3559,3767,
%T A153636 4027,4243,4567,4639,5323,5351,6079,8059,8123,8563,9463,9851,9887,
%U A153636 10111,10247,11003,11119,11399,11939,12163,13127,13163,14243,14783,15907
%N A153636 Primes of the form 4x^3 + 27y^2, with x>0.
%H A153636 T. D. Noe, <a href="/A153636/b153636.txt">Table of n, a(n) for n = 1..1000</a>
%t A153636 nn=10^5; Select[Sort[Flatten[Table[4a^3+27b^2, {b,Sqrt[nn/27]}, {a,((nn-27b^2)/4)^(1/3)}]]], PrimeQ[ # ] &]
%o A153636 (PARI) is(p)=for(b=1,sqrtint(max(0,p-4)\27),my(t=p-27*b^2);if(t%4==0&&ispower(t/4,3),return(isprime(p))));0 \\ _Charles R Greathouse IV_, Jun 06 2013
%Y A153636 A153635 (positive or negative x).
%Y A153636 Cf. A154291.
%K A153636 nonn
%O A153636 1,1
%A A153636 _T. D. Noe_, Dec 29 2008