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abc conjecture

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Also known as Oesterlé–Masser conjecture, Oesterlé-Masser conjecture, Oesterlé Masser conjecture

number theory conjecture

Key facts

Field
Number theory
Conjectured by
Joseph Oesterlé David Masser
Equivalent to
Modified Szpiro conjecture
Consequences
Beal conjecture Erdős–Ulam problem Faltings' theorem Fermat's Last Theorem Fermat–Catalan conjecture Roth's theorem Tijdeman's theorem

via Wikipedia infobox

~18 min read

Encyclopedic overview

Mathematician Joseph Oesterlé Mathematician David Masser The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and David Masser in 1985. It is stated in terms of three positive integers

a , b

Excerpted from Wikipedia’s “abc conjecture” article, available under the CC BY-SA 4.0 licence.