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Numbers n such that n^2 + n + 712329866165608771 is prime.
1

%I #11 Sep 08 2022 08:46:11

%S 3,6,23,24,36,54,57,62,63,78,113,123,134,138,140,149,158,167,173,174,

%T 189,194,198,200,204,228,240,255,260,267,297,329,341,353,375,396,399,

%U 413,425,435,444,473,480,482,491,495,503,515,516,519,534,546,548,554,576

%N Numbers n such that n^2 + n + 712329866165608771 is prime.

%C For comment see A256312.

%H R. A. Mollin, <a href="http://www.jstor.org/stable/2975080">Prime-producing quadratics</a>, Amer. Math. Monthly 104 (1997),page 542.

%t Select[Range[700], PrimeQ[#^2 + # + 712329866165608771] &]

%o (Magma) [n: n in [0..100] | IsPrime(n^2+n+712329866165608771)];

%o (PARI) is(n)=isprime(n^2+n+712329866165608771) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A256312 (associated primes).

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Apr 07 2015