Fermat’s Last Theorem

The main mathematical news

1995: Proof of Fermat’s last theorem – Given an integer n>2, there are no three positive integers x, y, z such that xn + yn = zn.

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Additional Theorems / conjectures / Open questions

·      Pythagorean theorem

·      Hilbert’s tenth problem: Find an algorithm to determine whether any given Diophantine equation has a solution

·      Solution of Hilbert’s tenth problem: No such general algorithm exists

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The main mathematical concepts / Principles

97F60 – Number theory 

  • Diophantine equations

97G40 – Plane and solid geometry 

  • Pythagorean triple
  • Right triangle

97E30 – Logic

  • Undecidability
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