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<nowiki>*</nowiki>The 1691 holdouts are based on equivalence classes. The amount of individual unsolved TMs is currently 3171. | <nowiki>*</nowiki>The 1691 holdouts are based on equivalence classes. The amount of individual unsolved TMs in TNF is currently 3171. The holdouts for every other entry use the unsolved TNF TM count as well. | ||
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|+Number of holdouts (in-progress and approximate values) | |+Number of holdouts (in-progress and approximate values) | ||
Revision as of 10:40, 27 September 2025
The top table may or may not match the one found at Holdouts lists depending on the timing of when these lists get updated. I will keep track of the list on this page seperately. The bottom list will include unfinished work that I have noticed on Discord that will not be in other wiki pages.
| 2-state | 3-state | 4-state | 5-state | 6-state | 7-state | |
|---|---|---|---|---|---|---|
| 2-symbol | 0 | 0 | 0 | 0 | 1691* | 23,314,388 |
| 3-symbol | 0 | 6 | 460,916,384 | |||
| 4-symbol | 0 | 434,787,751 | ||||
| 5-symbol | 75 | |||||
| 6-symbol | 873,469 |
*The 1691 holdouts are based on equivalence classes. The amount of individual unsolved TMs in TNF is currently 3171. The holdouts for every other entry use the unsolved TNF TM count as well.
| 2-state | 3-state | 4-state | 5-state | 6-state | 7-state | |
|---|---|---|---|---|---|---|
| 2-symbol | 0 | 0 | 0 | 0 | 1691 / 3171 | 23,314,388 |
| 3-symbol | 0 | 6 | ~96.6M | |||
| 4-symbol | 0 | <434,787,751** | ||||
| 5-symbol | 75 | |||||
| 6-symbol | 873,469 |
**I am currently working on BB(3,4) and have removed some holdouts, however, the partial progress has not been merged and the reduction has not been counted.
After the work is done, I will upload my results and update the value in the table. I suspect a reduction to ~65M will be achievable.
Said work was supposed to be done by the end of this week as I am typing (which is tomorrow, 2025-09-28), however, I have delayed it to the end of next week, which is 2025-10-05 to those reading in the future.