Recently in this blog:
an unsolvable problem? and an unsolvable problem II.
Here more examples: for q=37 and p=31 there are several exceptions of different lengths. The expectation value L=30 can be produced alternatively and exceeded with lengths L=31 und L=32 in different ways. The occurrence of these structures is surprising.
| q | L | divisibility chain |
u |
|---|---|---|---|
| 29 | 22 | (u,21,19,17,15,13,11,3,7,5,3,23,29,3,5,7,3,11,13,15,17,19,21,v) |
? |
| 31 | 28 | (u,3,5,23,21,19,17,15,13,11,3,7,5,3,31,29,3,5,7,3,11,13,15,17,19,21,23,5,3,v) |
? |
| 37 | 30 | (u,29,3,5,23,21,19,17,15,13,11,3,7,5,3,31,37,3,5,7,3,11,13,15,17,19,21,23,5,3,29,v) |
? |
| 37 | 30 | (u,23,15,37,7,3,13,5,3,19,11,21,5,17,3,31,29,15,7,13,3,11,5,3,23,7,3,5,19,3,17,v) |
? |
| 37 | 31 | (u,15,7,11,3,13,5,3,19,7,3,5,17,3,11,[29],105,23,13,3,[31],5,3,7,[37],33,5, 19,3,17,7,15 13,v) |
? |
| 37 | 32 | (u,3,35,17,3,19,23,15,13,7,3,[29],5,3,[31],11,21,5,[37],3,17,13,15,7,19,3,11,5,3,23,7,3,5,v) |
? |
| 37 | 32 | (u,21,5,23,3,13,17,15,7,11,3,19,5,3,[29],7,3,5,13,3,11,[31],105,17,[37],3,23,5,3,7,19,3 11 13,5,v) |
? |
to be continued...
