A117345 Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.

330, 561, 1009, 1123, 1826, 2632, 3966, 4056, 6031, 6363, 6505, 7112, 8154, 9348, 9613, 11199, 12123, 12301, 12944, 14980, 15216, 15236, 16355, 16358, 17628, 18287, 18737, 19378, 20228, 21113, 25155, 26733, 28203, 29007, 31620, 32181, 33245

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Prog

(PARI) {m=35000; for(n=1, m, M=matrix(3, 3, i, j, prime(n+3*(i-1)+j-1)); if(matdet(M, 1)==0, print1(n, ", ")))}
(Python)
from sympy import nextprime, Matrix
k, A117345_list, plist = 1, [], [2, 3, 5, 7, 11, 13, 17, 19, 23]
while k < 10**7:
    if Matrix(plist).reshape(3, 3).det() == 0:
        A117345_list.append(k)
    k, plist = k+1, plist[1:]+[nextprime(plist[-1])] # Chai Wah Wu, Jan 25 2021

Crossrefs

Sequence in context: A174848 A300009 A244264 * A237189 A064262 A126997

Adjacent sequences: A117342 A117343 A117344 * A117346 A117347 A117348

Keyword

nonn

Author

Cino Hilliard, Apr 24 2006

Extensions

Edited by Klaus Brockhaus, Apr 28 2006

Status

approved