abc conjecture
FieldNumber theory
Conjectured byJoseph Oesterlé
David Masser
Conjectured in1985
Equivalent toModified Szpiro conjecture
Consequences
  • Beal conjecture
  • Faltings's theorem
  • Fermat's Last Theorem
  • Fermat–Catalan conjecture
  • Roth's theorem
  • Tijdeman's theorem