A168028 Primes of the form 6n^2 - 342n + 4903.

4903, 4567, 4243, 3931, 3631, 3343, 3067, 2803, 2551, 2311, 2083, 1867, 1663, 1471, 1291, 1123, 967, 823, 691, 571, 463, 367, 283, 211, 151, 103, 67, 43, 31, 31, 43, 67, 103, 151, 211, 283, 367, 463, 571, 691, 823, 967, 1123, 1291, 1471, 1663, 1867, 2083, 2311, 2551, 2803, 3067, 3343, 3631, 3931, 4243, 4567, 4903, 6367, 6763, 7591

Offset

1,1

Links

Table of n, a(n) for n=1..61.

Example

p(n) = 6*n^2 -342*n + 4903 is prime for all n in [0, 57]: p(0)=4903 p(1)=4567 p(2)=4243 ... p(57)=4903; and then for n=61, 62, 64, 66, ...

Mathematica

Select[Table[6n^2-342n+4903, {n, 0, 70}], PrimeQ] (* Harvey P. Dale, May 01 2020 *)

Prog

(PARI) lista(nn)=for (n=0, nn, if (isprime(p = 6*n^2 - 342*n + 4903), print1(p, ", ")); ); \\ Michel Marcus, Sep 04 2013

Crossrefs

Sequence in context: A256363 A031568 A083607 * A031834 A031634 A250908

Adjacent sequences: A168025 A168026 A168027 * A168029 A168030 A168031

Keyword

nonn

Author

Bobby Kramer & Adam Avello (panthar1(AT)gmail.com), Nov 16 2009

Extensions

More terms (to distinguish from quadratic) from Charles R Greathouse IV, Jun 18 2017

Status

approved