Diophantine equation 4th

Diophantine equation 4th

Postby Guest » Fri May 17, 2024 3:09 pm

Is there any possibility to solve this equation :
a^4+b^4+c^4=9( d^4+e^4+f^4) ,
a,b,c,d,e,f are positive integers such that a≠b≠c≠d≠e≠f .
I tried with modulo 9 but no result.
Thank you .

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