Number snake

Consider the following:



66 65 28 27 06 05 00 01 14 15 44 45 91
67 64 29 26 07 04 03 02 13 16 43 46 90
68 63 30 25 08 09 10 11 12 17 42 47 88
69 62 31 24 23 22 21 20 19 18 41 48 87
70 61 32 33 34 35 36 37 38 39 40 49 86
71 60 59 58 57 56 55 54 53 52 51 50 85
72 73 74 75 76 77 78 79 80 81 82 83 84

When you count up by 0,1,2,3..., you get a serpentine pattern. If you notice, there's a series of triangle numbers below the zero and the remainder of the triangle numbers embedded in the first row.

What other patterns can you find? What can you say (if anything) about the prime numbers?

Nice threads you made, with interesting number patterns :)

For now, I can see only one, the central column.

00 = 0 x 0
03 = 1 x 3
10 = 2 x 5
21 = 3 x 7
36 = 4 x 9
55 = 5 x 11
78 = 6 x 13