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https://community.wolfram.com/groups/-/m/t/2627198
Based on the description [here](https://en.wikipedia.org/wiki/Diophantine_equation#Examples):
![enter image description here][1]
I tried to solve the following Diophantine equation but no specific solution has been obtained:
In[172]:= Solve[ x^4 + y^4 + z^4 == w^4, {x,y,z,w},Integers]
During evaluation of In[172]:= Solve::svars: Equations may not give solutions for all "solve" variables.
Out[172]= {{w ->
ConditionalExpression[-(x^4 + y^4 + z^4)^(
1/4), (x | y | z | (x^4 + y^4 + z^4)^(1/4)) \[Element]
Integers]}, {w ->
ConditionalExpression[(x^4 + y^4 + z^4)^(
1/4), (x | y | z | (x^4 + y^4 + z^4)^(1/4)) \[Element] Integers]}}
I want to know how to get the results shown in the Wikipedia above.
Regards,
Zhao
[1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=Selection_247.png&userId=2470387Hongyi Zhao2022-09-30T14:21:08Z