Jakarta, CNBC Indonesia \u2013 The global mathematics community is in\nturmoil after OpenAI simultaneously released more than 350 findings\ngenerated by artificial intelligence (AI) on Tuesday (6 October 2026).\nThe release has prompted mixed reactions among mathematicians, ranging\nfrom admiration to concerns about the future of the discipline.<\/p>\n
According to The New York Times, the tens of thousands of pages of\nfindings published by OpenAI include answers to significant open\nquestions across almost every branch of mathematics, including algebra,\nnumber theory, theoretical computer science, mathematical logic and\ntopology.<\/p>\n
The finding attracting the most attention is a proof of the\n\u201cquasi-Riemann hypothesis\u201d, a conjecture related to the Riemann\nHypothesis, one of the best-known problems on the list of Millennium\nPrize Problems. Alex Kontorovich, head of the mathematics department at\nRutgers University, said the achievement would immediately earn a Fields\nMedal, the highest honour in mathematics, if it had been produced by a\nhuman.<\/p>\n
Even so, none of the findings fully solves any of the five remaining\nMillennium Prize Problems. The collection is, however, said to contain\nrelated advances on all five.<\/p>\n
Martin Bridson, president of the Clay Mathematics Institute and an\nOxford mathematician, described OpenAI\u2019s release as astonishing. Until\nrecently, he said, it would have been impossible to imagine the\nboundaries of mathematical knowledge shifting so far in a single\nday.<\/p>\n
Alongside the admiration, some academics have raised concerns about\nverification. Bryna Kra, a former president of the American Mathematical\nSociety, called the results extraordinary but said the tens of thousands\nof pages now needed to be examined carefully. She noted that the process\nhad bypassed the peer-review mechanism that has traditionally served as\nthe standard for verifying scholarly work.<\/p>\n
Kra also fears that releases of this kind could damage the research\necosystem that made such work possible. She said mathematicians using AI\ntools risk losing control of their own ideas.<\/p>\n
Concerns about accuracy are not unfounded. By Thursday (8 October\n2026), OpenAI had updated its online repository, withdrawing three\npapers and correcting several others. An OpenAI spokesperson said the\ncompany would promptly correct errors that were identified and withdraw\npapers if no viable correction could be made, adding that the process\nwas iterative, like other research manuscripts.<\/p>\n
Ken Ono, a professor at the University of Virginia and a founding\nmathematician at Axiom Math, said many of his colleagues were initially\nshaken by the release. He added that the feeling quickly gave way to\nenthusiasm and a determination to aim higher.<\/p>\n
Meanwhile, the legendary French mathematician Jean-Pierre Serre, who\nturned 100 last month, discovered that one of OpenAI\u2019s findings proved a\nconjecture he had proposed nearly 70 years ago. The Fields Medal and\nAbel Prize winner said he was in a dilemma. AI, he said, enriches the\npleasure of learning but diminishes the satisfaction of making a new\ndiscovery\u2014a consequence he considers most serious for young\nmathematicians.<\/p>\n
Doctoral students feel the greatest impact<\/strong><\/p>\n The upheaval is thought to be felt most acutely by postgraduate\nstudents. Thomas Carlson, a doctoral student at Montana State\nUniversity, questioned how the value of a mathematics doctorate awarded\nin 2028 could be kept on a par with those awarded several years\nearlier.<\/p>\n Yuanning Zhang, a doctoral student at Northwestern University, said\nhe felt more dizzy than judgemental about the developments. If the\nfindings are verified, he said, AI-assisted mathematical research\nappears to be starting to operate on an industrial scale.<\/p>\n Amid the debate, reports have circulated that OpenAI will soon\nrelease another wave of findings.<\/p>",
"url": "https:\/\/jawawa.id\/newsitem\/decades-old-mathematical-riddle-finally-solved-shaking-the-mathematics-world-1791589831",
"image": ""
},
"sponsor": "Okusi Associates",
"sponsor_url": "https:\/\/okusiassociates.com"
}