Benchmarks of small admissible tuples
Here is a table to fill in the best upper bounds available for small admissible tuples (1~5500).
Rules
Efforts to fill in the blank fields in this table are very welcome. Here are the rules for the "Lucky Winner" game:
- "Winner" for each cell: You might enter each cell with a new tuple with the best upper bound and the abbreviation of your name (Your might append others' if your solution is obtained using others' work.)
- "Lucky": Your cell will be "bold" if it is picked by an angel, if you are sufficiently lucky. Your cell might be stroked through if the luck is lost (the k0 claim is retracted).
Notes:
- Thomas J Engelsma have calculated upper bounds exactly for k0 up to 342, but he did not provide his tuples. So your contribution will be shown as TJE&<Your Name>, if your provide an optimal tuple.
Records
| [math]\displaystyle{ k_0 }[/math] | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| 6320 | - | - | - | - | - | - | - | - | - | 60,726 (XFX-AVS) |
| 5500 | - | - | - | - | - | - | - | - | - | - |
| 5540 | - | - | - | 51,526 (AVS) | - | - | - | - | - | |
| 3400 | - | - | - | - | - | - | - | - | ||
| 340 | - | - | 342 (TJE&AVS) | - | - | - | - | - | - |
Contributors
AVS: Andrew Sutherland
pedant
Scott Morrison
TJE: Thomas J Engelsma
Wouter Castryck
XFX: xfxie
ZWS: Zhi-Wei Sun
