List of Number Theory Topics - Diophantine Equations

Diophantine Equations

• Pythagorean triple
• Pell's equation
• Elliptic curve
  • Nagell–Lutz theorem
  • Mordell–Weil theorem
  • Mazur's torsion theorem
  • Congruent number
  • Arithmetic of abelian varieties
  • Elliptic divisibility sequences
• Fermat's Last Theorem
• Mordell conjecture
• Euler's sum of powers conjecture
• abc Conjecture
• Catalan's conjecture
• Pillai's conjecture
• Hasse principle
• Diophantine set
• Matiyasevich's theorem
• One thousand seven hundred and twenty nine