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Kale
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how do you bound exponent of x^2+1=y^p

for p a prime exponent using linear forms in logs?

So far I have (x-i)(x+i)=y^p which are coprime and hence x+i=(a+ib)^p , now how do I get a linear form in logs so that I can find an upper bound on p?

Kale
  • 131
  • 3