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A271820 Primes of the form 236241327599 + 2*n^2.

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%I A271820 #11 Feb 16 2025 08:33:33
%S A271820 236241327599,236241327601,236241327607,236241327617,236241327631,
%T A271820 236241327649,236241327671,236241327697,236241327727,236241327761,
%U A271820 236241327799,236241327841,236241328177,236241328751,236241330049,236241331831,236241332207,236241332401,236241333649,236241334799
%N A271820 Primes of the form 236241327599 + 2*n^2.
%C A271820 The first 12 primes correspond to the values of n from 0 to 11. The first term is a member of A271348.
%H A271820 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-generating Polynomial</a>
%e A271820 For n=0, we get 236241327599, which is a prime as determined in A271348.
%e A271820 For n=1, we get 236241327599 + 2*1^2 = 236241327601, which is a prime as determined in A271348.
%t A271820 Select[Table[236241327599+2*n^2, {n, 0, 100}], PrimeQ]
%o A271820 (PARI) for(n=0, 100, isprime(236241327599+2*n^2) && print1(236241327599+2*n^2, ", "))
%Y A271820 Cf. A000040 (primes), A271348 (contains the first term), A050265, A007641, A271366, A271818, A271819 (similar sequences whose first term is in A271348).
%K A271820 nonn
%O A271820 1,1
%A A271820 _Waldemar Puszkarz_, Apr 14 2016