# Will Mochizuki retract his proof of the abc conjecture before 2050?

## Question description

The abc conjecture is a conjecture in number theory which states that for a given ( \varepsilon > 0 ), there are only finitely many positive integer solutions of the equation ( a + b = c ) with ( a, b ) coprime such that

[ c > \textrm{rad}(abc)^{1 + \varepsilon} ]

In 2012, Shinichi Mochizuki claimed a proof of the conjecture, but his proof has failed to achieve widespread recognition among mathematicians as of 2022.

In March 2021 his proof was published in the *Publications of the Research Institute for Mathematical Sciences* (RIMS), a journal of which Mochizuki was the chief editor (though he recused himself from reviewing the paper).

## Indicators

Indicator | Value |
---|---|

Stars | ★★★☆☆ |

Platform | Metaculus |

Number of forecasts | 90 |

## Capture

The abc conjecture is a conjecture in number theory which states that for a given ( \varepsilon > 0 ), there are only finitely many positive integer solutions of the equation ( a + b = c ) with ( a, b ) coprime such that

[ c >...

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