A117359 - OEIS

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

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OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..31.

PROG

(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, ", ")))}

CROSSREFS

Cf. A117345.

Sequence in context: A176930 A308793 A180088 * A096210 A133584 A139059

Adjacent sequences: A117356 A117357 A117358 * A117360 A117361 A117362

KEYWORD

nonn

AUTHOR

Cino Hilliard, Apr 24 2006

EXTENSIONS

Edited by Klaus Brockhaus, Apr 28 2006

STATUS

approved