A117359 Indices n == 1 (mod 9) such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.

1009, 6031, 9613, 19378, 49996, 67285, 91549, 101278, 102097, 107182, 142723, 154792, 168562, 175006, 183718, 196345, 200530, 204031, 215407, 240292, 263395, 264628, 277723, 289171, 299323, 307684, 313111, 369676, 372601, 376921, 425935

Offset: 1

Author

Cino Hilliard, Apr 24 2006

Keywords

• nonn

Comments

By considering only indices congruent to 1 (mod 9) each prime occurs in exactly one of these matrices. - Subsequence of A117345.

Crossrefs

Cf. A117345.

Programs

PARI

{m=426000;forstep(n=1,m,9,M=matrix(3,3,i,j,prime(n+3*(i-1)+j-1));if(matdet(M,1)==0,print1(n,",")))}

Extensions

Edited by Klaus Brockhaus, Apr 28 2006