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Numbers n such that 11*n^2 + 1 is prime.
1

%I #14 Sep 08 2024 19:26:13

%S 6,24,30,54,66,84,90,96,126,144,150,186,210,234,246,276,300,324,330,

%T 360,420,426,444,450,474,480,486,516,606,624,636,684,720,750,786,804,

%U 816,864,876,900,906,924,966,996,1014,1020,1056,1074,1104,1110,1116,1194

%N Numbers n such that 11*n^2 + 1 is prime.

%C All terms are multiples of 6.

%e If n=6 then 11*n^2 + 1 = 397 (prime).

%e If n=144 then 11*n^2 + 1 = 228097 (prime).

%t Select[Range[1300], PrimeQ[11*#^2 + 1] &] (* _Stefan Steinerberger_, Nov 13 2007 *)

%o (Magma) [ n: n in [0..1500] | IsPrime(11*n^2 + 1) ]; // _Vincenzo Librandi_, Jan 31 2011

%o (PARI) is(n)=isprime(11*n^2+1) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A111051, A132190.

%K nonn,easy

%O 1,1

%A _Parthasarathy Nambi_, Nov 12 2007

%E More terms from _Stefan Steinerberger_, Nov 13 2007