Home›Open Questions›Is the abc conjecture actually true, and does Shinichi Mochizuki's inter-universal Teichmuller theory really prove it?Open QuestionsIs the abc conjecture actually true, and does Shinichi Mochizuki's inter-universal Teichmuller theory really prove it?Citation FormatsGeneral ReferenceGeneral Reference Citation TextMathematics Atlas. "Is the abc conjecture actually true, and does Shinichi Mochizuki's inter-universal Teichmuller theory really prove it?." Accessed August 30, 2026. https://mathematics.interactiveatlas.org/open-questions-index/abc-conjecture-open-question.Copy General ReferenceAPA StyleAPA Style Citation TextMathematics Atlas. (n.d.). Is the abc conjecture actually true, and does Shinichi Mochizuki's inter-universal Teichmuller theory really prove it?. Retrieved August 30, 2026, from https://mathematics.interactiveatlas.org/open-questions-index/abc-conjecture-open-questionCopy APA StyleBibTeXBibTeX Citation Text@misc{mathematicsatlas-is-the-abc-conjecture-actually-true-and, author = {Mathematics Atlas}, title = {Is the abc conjecture actually true, and does Shinichi Mochizuki's inter-universal Teichmuller theory really prove it?}, year = {2026}, url = {https://mathematics.interactiveatlas.org/open-questions-index/abc-conjecture-open-question}, note = {Accessed August 30, 2026} }Copy BibTeXOpen QuestionCross-Tradition ConnectionsSourcesComments (0)Reader Challenges (0 open reader challenges)Open QuestionMochizuki claims a proof through his inter-universal Teichmuller theory, formally published in 2021 by the journal he edits, but Peter Scholze and Jakob Stix identified what they describe as a serious, unfixable gap around a step called Corollary 3.12 in 2018, and most number theorists have not accepted the proof as correct.What would resolve this Either a version of the argument that resolves the Scholze-Stix objection in a way the wider number theory community accepts, or an independent proof, or a counterexample.OpenNumber theoryErica Klarreich, Klarreich, Titans of Mathematics Clash Over ABC Conjecture (2018)Cross-Tradition ConnectionsQuestion OnABC Conjecture, Conjectures Well-attested Source Klarreich, Titans of Mathematics Clash Over ABC Conjecture (2018)Erica Klarreichtier 2SourcesKlarreich, Titans of Mathematics Clash Over ABC Conjecture (2018)tier 2Erica Klarreich, Quanta Magazine, September 20, 2018, 2018https://www.quantamagazine.org/titans-of-mathematics-clash-over-epic-proof-of-abc-conjecture-20180920/View the SourceComments (0)No comments yet. Be the first to share a thought.Sign in to join the discussion.Reader Challenges (0 open reader challenges)No disputes yet. Spotted an error or a better source? Open the first one.Sign in to dispute this or suggest a correction.View At A Past YearThe atlas records no dated fact of its own for this entry, so there is no other year to choose.Show This Year