A256312 Primes of the form n^2 + n + 712329866165608771.

712329866165608783, 712329866165608813, 712329866165609323, 712329866165609371, 712329866165610103, 712329866165611741, 712329866165612077, 712329866165612677, 712329866165612803, 712329866165614933, 712329866165621653, 712329866165624023

Offset

1,1

Comments

From Mollin's paper: "x^2 + x + A with A=712329866165608771 has the largest asymptotic density of primes for any polynomial of this type to date" (1997).

Is it still so?

Links

Table of n, a(n) for n=1..12.

R. A. Mollin, Prime-producing quadratics, Amer. Math. Monthly 104 (1997), page 542.

Wikipedia, Hardy and Littlewood's Conjecture F

Mathematica

Select[Table[n^2 + n + 712329866165608771, {n, 1, 200}], PrimeQ]

Prog

(Magma) [a: n in [1..200] | IsPrime(a) where a is n^2 + n + 712329866165608771];
(PARI) for(n=1, 100, if(isprime(k=n^2+n+712329866165608771), print1(k, ", "))) \\ Derek Orr, Apr 05 2015

Crossrefs

Cf. A256674 (associated n).

Sequence in context: A172565 A360140 A172546 * A173445 A281390 A281301

Adjacent sequences: A256309 A256310 A256311 * A256313 A256314 A256315

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 05 2015

Status

approved