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 A271819 #11 Feb 16 2025 08:33:33 %S A271819 159587584529,159587584531,159587584537,159587584547,159587584561, %T A271819 159587584579,159587584601,159587584627,159587584657,159587584691, %U A271819 159587584729,159587584771,159587585107,159587585329,159587585681,159587585881,159587586097,159587586451,159587586707,159587586979 %N A271819 Primes of the form 159587584529 + 2*n^2. %C A271819 The first 12 primes correspond to the values of n from 0 to 11. The first term is a member of A271348. %H A271819 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-generating Polynomial</a> %e A271819 For n=0, we get 159587584529, which is a prime as determined in A271348. %e A271819 For n=1, we get 159587584529 + 2*1^2 = 159587584531, which is a prime as determined in A271348. %t A271819 Select[Table[159587584529+2*n^2, {n, 0, 100}], PrimeQ] %o A271819 (PARI) for(n=0, 100, isprime(159587584529+2*n^2) && print1(159587584529+2*n^2, ", ")) %Y A271819 Cf. A000040 (primes), A271348 (contains the first term), A050265, A007641, A271366, A271818, A271820 (similar sequences whose first term is in A271348). %K A271819 nonn %O A271819 1,1 %A A271819 _Waldemar Puszkarz_, Apr 14 2016