A272302 Nonnegative numbers n such that abs(3n^3 - 183n^2 + 3318n - 18757) 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, 48, 49, 51, 53, 56, 57, 59, 60, 62, 63, 65, 66, 69, 70, 74, 79, 80, 81, 82, 85

Offset: 1

Author

Robert Price, Apr 28 2016

Keywords

• nonn
• less

Comments

47 is the smallest number not in this sequence.

Examples

			4 is in this sequence since abs(3*4^3 - 183*4^2 + 3318*4 - 18757) = abs(192-2928+13272-18757) = 8221 is prime.
		

Links

• Robert Price, Table of n, a(n) for n = 1..2839
• Eric Weisstein's World of Mathematics, Prime-Generating Polynomials

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266, A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401.

Programs

Mathematica

Select[Range[0, 100], PrimeQ[3#^3 - 183#^2 + 3318# - 18757 ] &]

PARI

is(n)=isprime(abs(3*n^2-183*n^2+3318*n-18757)) \\ Charles R Greathouse IV, Feb 17 2017