Quadratic Residue Sequences - Table
| N | Sequence |
| 3 | 0,1,1 |
| 5 | 0,1,4,4,1 |
| 7 | 0,1,4,2,2,4,1 |
| 11 | 0,1,4,9,5,3,3,5,9,4,1 |
| 13 | 0,1,4,9,3,12,10,10,12,3,9,4,1 |
| 17 | 0,1,4,9,16,8,2,15,13,13,15,2,8,16,9,4,1 |
| 19 | 0,1,4,9,16,6,17,11,7,5,5,7,11,17,6,16,9,4 |
| 23 | 0,1,4,9,16,2,13,3,18,12,8,6,
6,8,12,18,3,13,16,9,4,1 |
| 29 | 0,1,4,9,16,25,7,20,6,23,13,5,28,24,22,
22,24,28,13,23,6,20,7,25,16,9,4,1 |
| 31 | 0,1,4,9,16,25,5,18,2,19,7,28,20,14,10,8
8,10,14,20,28,7,19,2,18,5,25,16,9,4,1 |
| 37 | 0,1,4,9,16,25,36,12,27,7,26,10,33,21,11,3,34,30,28
28,30,34,3,11,21,33,10,26,7,27,12,36,25,16,9,4,1 |
| 41 | 0,1,4,9,15,25,36,8,23,40,18,39,21,5,32,20,10,2,37
33,31,31,33,37,2,10,20,32,5,21,39,18,40,23,8
36,25,16,4,1 |
| 43 | 0,1,4,9,16,25,36,6,21,38,14,35,15,40,24,10,41
31,23,17,13,11,11,13,17,23,31,41,10,24,40
15,35,14,38,21,6,36,25,16,9,4,1 |
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Primitive Root Sequences - Table
| N | p | Sequence |
| 3 | 2 | 1,2 |
| 5 | 2 | 1,2,4,3 |
| 3 | 1,3,4,2 |
| 7 | 3 | 1,3,2,6,4,5 |
| 5 | 1,5,4,6,2,3 |
| 11 | 2 | 1,2,4,8,5,10,9,7,3,6 |
| 6 | 1,6,3,7,9,10,5,8,4,2 |
| 7 | 1,7,5,2,3,10,4,6,9,8 |
| 8 | 1,8,9,6,4,10,3,2,5,7 |
| 13 | 2 | 1,2,4,8,3,6,12,11,9,5,10,7 |
| 6 | 1,6,10,8,9,2,12,7,3,5,4,11 |
| 7 | 1,7,10,5,9,11,12,6,3,8,4,2 |
| 11 | 1,11,4,5,3,7,12,2,9,8,10,6 |
| 17 |
3 | 1,3,9,10,13,5,15,11,16,14,8,7,4,12,2,6 |
| 5 | 1,5,8,6,13,14,2,10,16,12,9,11,4,3,15,7 |
| 6 | 1,6,2,12,4,7,8,14,16,11,15,5,13,10,9,3 |
| 7 | 1,7,15,3,4,11,9,12,16,10,2,14,13,6,8,5 |
| 10 | 1,10,15,14,4,6,9,5,16,7,2,3,13,11,8,12 |
| 11 | 1,11,2,5,4,10,8,3,16,6,15,12,13,7,9,14 |
| 12 | 1,12,8,11,13,3,2,7,16,5,9,6,4,14,15,10 |
| 14 | 1,14,9,7,13,12,15,6,16,3,8,10,4,5,2,11 |
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