A097437 Value of C in y = x^2 + 9x + C such that y is prime for all x = 0 to 5.

31, 37, 61, 127, 241, 787, 2017, 2767, 5791, 7537, 9151, 9781, 10141, 15391, 19927, 33577, 36877, 41947, 42187, 42667, 57037, 74821, 78787, 92647, 102181, 115741, 135007, 139387, 142537, 143467, 157207, 159157, 160687, 161947, 176191, 180211

Offset

1,1

Links

Table of n, a(n) for n=1..36.

Example

a(4) = 127: y = x^2+9x+127.
If x = 0; y = 0+0+127 = 127, which is prime.
If x = 1; y = 1+9+127 = 137, which is prime.
If x = 2; y = 4+18+127 = 149, which is prime.
If x = 3; y = 9+27+127 = 163, which is prime.
If x = 4; y = 16+36+127 = 179, which is prime.
If x = 5; y = 25+45+127 = 197, which is prime.

Mathematica

Select[Prime[Range[25000]], And@@PrimeQ[#+{10, 22, 36, 52, 70}]&] (* Harvey P. Dale, Jan 08 2011 *)

Crossrefs

Sequence in context: A230225 A129998 A180542 * A156974 A215431 A082957

Adjacent sequences: A097434 A097435 A097436 * A097438 A097439 A097440

Keyword

nonn

Author

Ray G. Opao, Aug 22 2004

Status

approved