Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:claimedProofBy |
gptkb:Shinichi_Mochizuki
|
gptkbp:claimedProofStatus |
controversial
|
gptkbp:claimedProofYear |
2012
|
gptkbp:consequence |
gptkb:Erdős–Woods_conjecture
gptkb:Fermat's_Last_Theorem_for_large_exponents gptkb:Hall's_conjecture gptkb:Catalan's_conjecture gptkb:Mordell_conjecture gptkb:Szpiro's_conjecture |
gptkbp:field |
number theory
|
https://www.w3.org/2000/01/rdf-schema#label |
abc conjecture
|
gptkbp:influenced |
many results in number theory
|
gptkbp:proposedBy |
gptkb:David_Masser
gptkb:Joseph_Oesterlé |
gptkbp:relatedTo |
gptkb:Diophantine_equations
gptkb:Fermat's_Last_Theorem gptkb:Szpiro's_conjecture |
gptkbp:state |
For coprime positive integers a, b, c with a + b = c, c is rarely much larger than the product of the distinct prime factors of abc.
|
gptkbp:status |
unproven
|
gptkbp:yearProposed |
1985
|
gptkbp:bfsParent |
gptkb:Number_theory
gptkb:Algebraic_number_theory |
gptkbp:bfsLayer |
5
|