On Euler’s hypothetical proof

@article{Mays2007OnEH,
  title={On Euler’s hypothetical proof},
  author={Juozas Juvencijus Ma{\vc}ys},
  journal={Mathematical Notes},
  year={2007},
  volume={82},
  pages={352-356}
}
  • J. Mačys
  • Published 2007
  • Mathematics
  • Mathematical Notes
It is conjectured that Euler possessed an elementary proof of Fermat’s theorem for n = 3. In this note, we show that this opinion is rather credible, because, from Euler’s results, one can obtain an elementary proof of the nonexistence of positive integer solutions of the equation x3 + y3 = z3. 
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