A272118 Numbers k such that abs(6*k^2 - 342*k + 4903) is prime.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 61, 62, 64, 66, 67, 68, 69, 71, 72

Offset: 1

Author

Robert Price, Apr 20 2016

Keywords

• nonn

Examples

			4 is in this sequence since 6*4^2 - 342*4 + 4903 = 96-1368+4903 = 3631 is prime.
		

Links

• Robert Price, Table of n, a(n) for n = 1..3874
• Eric Weisstein's World of Mathematics, Prime-Generating Polynomials

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.

Cf. A271980, A272074, A272075.

Programs

Mathematica

Select[Range[0, 100], PrimeQ[6*#^2 - 342*# + 4903] &]

PARI

isok(n) = isprime(abs(6*n^2 - 342*n + 4903)); \\ Michel Marcus, Apr 21 2016