OFFSET
1,1
COMMENTS
The discriminant of this polynomial is -43. These are the primes that are not a square (mod 43). These primes are congruent to {2, 3, 5, 7, 8, 12, 18, 19, 20, 22, 26, 27, 28, 29, 30, 32, 33, 34, 37, 39, 42} (mod 43). - T. D. Noe, May 22 2011
Inert rational primes in the field Q(sqrt(-43)). - N. J. A. Sloane, Dec 25 2017
LINKS
FORMULA
a(n) ~ 2n log n. - Charles R Greathouse IV, May 22 2011
MATHEMATICA
Reap[Do[p = Prime[n]; ta = Table[Mod[m(m + 1) + 11, p], {m, 0, p/2 + 1}]; If[FreeQ[ta, 0], Sow[p]], {n, 1000}]][[2, 1]]
Select[Prime[Range[100]], JacobiSymbol[#, 43] == -1 &] (* T. D. Noe, May 22 2011 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Zak Seidov, May 18 2011
STATUS
approved