## [討論]數論

### [討論]數論

w^2+x^3+y^4=z^5

w,x,y,z都是正整數，求解

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w=2
x=3
y=1
z=2

kevin

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kevin

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All Question in 『未解的難題』
Meowth: 800
other: 1500

if solved
Because he can think it in 1 sec

I don't want to solve any of them.

you may cansider:
what if w^2+x^3+p^2=z^5
what if 2w^2+x^3=z^5
what if 2+x^3=z^5
what if 2w^2+1=z^5
what if w^2+2=z^5
...

try to consider the simpler situations.

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maybe there are infinite solutions

w     x     y          z
--------------------------------------------------------
2     3     1          2
16     8     4          4
68     23     2          7
74     11     10          7
41     31     6          8
24     31     7          8
220     22     1          9
241     7     5          9
216     18     9          9
118     29     12          9
64     38     3          9
9     38     8          9
276     24     10          10
...
...

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scsnake

scsnake 寫到:數論題目要考倒人太容易了∼隨便加上幾個次方就難死了∼

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it is 「未解的難題」，i think the 獎金 should be >=10000.

yptsoi

Don't be so greedy.............

*Hong*

^←這個是次方.....