1,1

5 X 5 analogue of A117330 Determinants of 3 X 3 matrices of continuous blocks of 9 consecutive primes. The terminology "continuous" is used to distinguish from "discrete" which would be (in this 5 X 5 prime case) block 1: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97; block 2: 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229; and so forth.

a(1) = -4656 because the determinant of the first continuous block of 25 primes is:

| 2. 3. 5. 7. 11.|

|13. 17. 19. 23. 29.|

|31. 37. 41. 43. 47.|

|53. 59. 61. 67. 71.|

|73. 79. 83. 89. 97.|.

Cf. A000040, A067276, A117301, A118713.

Sequence in context: A068268 A028551 A122713 this_sequence A020422 A048131 A062626

Adjacent sequences: A118812 A118813 A118814 this_sequence A118816 A118817 A118818

easy,sign

Jonathan Vos Post (jvospost2(AT)yahoo.com), May 23 2006