Working in secret for more than two years, a group of mathematicians has set out to resolve of the longest and most bitter battles in modern mathematics ...

Wikipedia – The abc conjecture (also known as Oesterlé–Masser conjecture) is a conjecture in number theory, first proposed by Joseph Oesterlé (1988) and David Masser (1985) as an integer analogue of ...

Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...

A Japanese mathematician claims to have the proof for the ABC conjecture, a statement about the relationship between prime numbers that has been called the most important unsolved problem in number ...

A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. Two mathematicians have found what ...

An icon in the shape of a lightning bolt. Impact Link Whenever a major leap is made in pure mathematics, the question always leads to "Cool, but what does this mean for me?" Here's what you want to ...

In August 2012, Shinichi Mochizuki, Japanese mathematician from Kyoto University’s Research Institute for Mathematical Sciences, posted four papers on his website that claimed to contain a proof of ...