Hello! I have a hard diophantine equation which I tried to solve last months but with no succes.
Prove that the equation x^2-y^10+z^5=6 has no integer solutions(positive, negative). I tried a modular approach(modulo 11)and it didn't work.
I tried to write it in several ways but again no chance. Do you have an idea? I would be very happy to see a COMPLETE proof. Many people say it works modulo 11 but I don't think so(almost 90% sure). I'm new to this forum
Prove that the equation x^2-y^10+z^5=6 has no integer solutions(positive, negative). I tried a modular approach(modulo 11)and it didn't work.
I tried to write it in several ways but again no chance. Do you have an idea? I would be very happy to see a COMPLETE proof. Many people say it works modulo 11 but I don't think so(almost 90% sure). I'm new to this forum