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Commit 32a4cf38 authored by Guangting Yu's avatar Guangting Yu
Browse files

update current minimum b

parent 9255ab91
......@@ -8,3 +8,14 @@ https://en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture
```
To avoid repetition, we require $` \mathrm{gcd}(a_1, \cdots, a_l) = 1 `$ and $` b>a_1 \geq a_2 \geq \cdots a_l `$.
If such a solution exists for some length $` l `$ and exponent $` p `$, we put the minimum $` b `$ in the table.
[Fermat's last theorem](https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem) states that for length=2, exponent>2, there is no solution.
## Current results (min b)
| length\ exponent | 2 | 3 | 4 | 5 | 6 |
|---------------- |--- |----- |------- |------- |------- |
| 2 | 5 | ∞ | ∞ | ∞ | ∞ |
| 3 | 3 | 6 | >1024 | >1024 | >1024 |
| 4 | 5 | 7 | 353 | 144 | |
| 5 | 4 | 4 | 5 | | |
| 6 | 3 | 3 | | | |
\ No newline at end of file
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