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%I #10 Apr 16 2016 20:51:20
%S 159587584529,159587584531,159587584537,159587584547,159587584561,
%T 159587584579,159587584601,159587584627,159587584657,159587584691,
%U 159587584729,159587584771,159587585107,159587585329,159587585681,159587585881,159587586097,159587586451,159587586707,159587586979
%N Primes of the form 159587584529 + 2*n^2.
%C The first 12 primes correspond to the values of n from 0 to 11. The first term is a member of A271348.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-generating Polynomial</a>
%e For n=0, we get 159587584529, which is a prime as determined in A271348.
%e For n=1, we get 159587584529 + 2*1^2 = 159587584531, which is a prime as determined in A271348.
%t Select[Table[159587584529+2*n^2, {n, 0, 100}], PrimeQ]
%o (PARI) for(n=0, 100, isprime(159587584529+2*n^2) && print1(159587584529+2*n^2, ", "))
%Y Cf. A000040 (primes), A271348 (contains the first term), A050265, A007641, A271366, A271818, A271820 (similar sequences whose first term is in A271348).
%K nonn
%O 1,1
%A _Waldemar Puszkarz_, Apr 14 2016
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