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%I A269789 #13 Sep 08 2022 08:46:16
%S A269789 11,31,83,151,191,283,811,983,1171,1483,1831,2083,2351,3251,3583,3931,
%T A269789 4111,4483,4871,5483,6131,8291,9631,11071,12611,14251,14591,15991,
%U A269789 18211,20983,24391,27583,29983,30971,34031,35083,36151,36691,37783,38891,39451,40583
%N A269789 Primes p such that 2*p + 59 is a square.
%C A269789 Primes of the form 2*k^2 + 2*k - 29.
%e A269789 a(1) = 11 because 2*11 + 59 = 81, which is a square.
%t A269789 Select[Prime[Range[4500]], IntegerQ[Sqrt[2 # + 59]] &]
%o A269789 (Magma) [p: p in PrimesUpTo(50000) | IsSquare(2*p+59)];
%o A269789 (PARI) lista(nn) = {forprime(p=2, nn, if(issquare(2*p + 59), print1(p, ", "))); } \\ _Altug Alkan_, Mar 24 2016
%Y A269789 Cf. A000040.
%Y A269789 Subsequence of A002144, A045429.
%Y A269789 Cf. similar sequences listed in A269784.
%K A269789 nonn
%O A269789 1,1
%A A269789 _Vincenzo Librandi_, Mar 24 2016

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