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 A240838 #15 Sep 08 2022 08:46:07
%S A240838 2,3,5,13,41,43,139,173,227,239,359,463,541,691,743,761,821,823,827,
%T A240838 887,1021,1117,1289,1427,1489,1637,1723,1933,1999,2081,2287,2309,2719,
%U A240838 2791,2833,2843,2953,3329,3541,3803,3823,3929,4003,4007,4079,4139,4297,4451,4561,4597,4691,4703,4817,4931,4943
%N A240838 Primes p such that prime(p) + 2*p^2 is prime.
%C A240838 The associated primes are: 11, 23, 41, 379, 3541, ...
%e A240838 2 is in this sequence because 2 and prime(2) + 2*2^2 = 3 + 8 = 11 are both prime.
%t A240838 Select[Prime[Range[700]],PrimeQ[Prime[#]+2#^2]&] (* _Harvey P. Dale_, Mar 19 2018 *)
%o A240838 (Magma) [n: n in {1..5000} | IsPrime(n) and IsPrime(s) where s is (2*n^2 + NthPrime(n))];
%o A240838 (PARI) isok(p) = isprime(p) && isprime(prime(p) + 2*p^2); \\ _Michel Marcus_, Apr 13 2014
%Y A240838 Cf. A006450, A079704.
%K A240838 nonn
%O A240838 1,1
%A A240838 _Ilya Lopatin_ and _Juri-Stepan Gerasimov_, Apr 13 2014