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OpenAI makes breakthrough in 80-year-old math problem with ‘ingenious ideas’

Nypost · · 595 words · By Ronny Reyes
AI Capabilities Mathematical Breakthroughs Human vs AI Intuition
open_in_new Read the original article: https://nypost.com/2026/05/21/world-news/openai-makes-breakthrough-in-80-year-ol…

psychologyDetected Techniques

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Loaded Language 80% confidence
Using words with strong emotional connotations to influence an audience.
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Exaggeration / Hyperbole 70% confidence
Overstating facts or claims to create a stronger emotional response.

fact_checkFact-Check Results

12 claims extracted and verified against multiple sources including cross-references, web search, and Wikipedia.

info Single Source 4
check_circle Corroborated 3
verified Verified By Reference 2
schedule Pending 2
help Insufficient Evidence 1
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“OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years”
CORROBORATED
Multiple independent news sources (Google News, TechCrunch, and a specialized AI news report) confirm that OpenAI claims its reasoning model solved an 80-year-old geometry problem.
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wikipedia NEUTRAL — OpenAI is an American artificial intelligence (AI) research organization headquartered in San Francisco, consisting of a for-profit public benefit corporation (PBC) partially controlled by a nonprofit…
https://en.wikipedia.org/wiki/OpenAI
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wikipedia NEUTRAL — OpenAI o1 is a generative pre-trained transformer (GPT), the first in OpenAI's "o" series of reasoning models. A preview of o1 was released by OpenAI on September 12, 2024. o1 spends time "thinking" b…
https://en.wikipedia.org/wiki/OpenAI_o1
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wikipedia NEUTRAL — OpenAI o3 is a reflective generative pre-trained transformer (GPT) model developed by OpenAI as a successor to OpenAI o1 for ChatGPT. It is designed to devote additional deliberation time when address…
https://en.wikipedia.org/wiki/OpenAI_o3
+ 3 more evidence sources
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“The company published its findings on Wednesday, demonstrating that one of its models cracked the planar unit distance problem, first posed by legendary Hungarian mathematician Paul Erdős in 1946.”
CORROBORATED
Three independent web sources explicitly state that OpenAI's model solved the 'planar unit distance problem' first posed by Paul Erdős in 1946.
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wikipedia NEUTRAL — The prolific mathematician Paul Erdős and his various collaborators made many famous mathematical conjectures, over a wide field of subjects, and in many cases Erdős offered monetary rewards for solvi…
https://en.wikipedia.org/wiki/List_of_conjectures_by_Paul_Er…
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wikipedia NEUTRAL — Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, alg…
https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_m…
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wikipedia NEUTRAL — In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting two points whenever the distance between t…
https://en.wikipedia.org/wiki/Unit_distance_graph
+ 3 more evidence sources
info
“The prevailing theory suggested that a “square grid” was the key to creating the maximum number of pairs listed in the problem”
SINGLE SOURCE
The provided evidence for this claim consists only of dictionary definitions for the word 'prevailing' and does not contain any mathematical or news-based evidence regarding square grids in the planar unit distance problem.
travel_explore
web search NEUTRAL — PREVAILING definition: 1. existing in a particular place or at a particular time: 2. a wind that usually blows in a…. Learn more.
https://dictionary.cambridge.org/dictionary/english/prevaili…
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web search NEUTRAL — PREVAILING definition: predominant. See examples of prevailing used in a sentence.
https://www.dictionary.com/browse/prevailing
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web search NEUTRAL — Define prevailing. prevailing synonyms, prevailing pronunciation, prevailing translation, English dictionary definition of prevailing. adj. 1. Generally current; widespread: the prevailing attitude. 2…
https://www.thefreedictionary.com/prevailing
info
“Erdős himself proposed that the number of pairs could increase only slightly faster than the number of dots as more points were added.”
SINGLE SOURCE
The provided evidence for this claim is completely irrelevant, discussing the Apostle Paul and a movie, rather than mathematician Paul Erdős's theories on the unit distance problem.
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web search NEUTRAL — Paul was apparently Paul's own preference, since he always refers to himself as Paul in his letters (18 times in the letters generally regarded as written by Paul himself, and 10 more times in the oth…
https://en.m.wikipedia.org/wiki/Paul_the_Apostle
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web search NEUTRAL — Apr 17, 2026 · St. Paul the Apostle was one of the early Christian leaders and is often considered to be the most important person after Jesus in the history of Christianity. Of the 27 books of the Ne…
https://www.britannica.com/biography/Saint-Paul-the-Apostle
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web search NEUTRAL — Mar 18, 2011 · Paul: Directed by Greg Mottola. With Simon Pegg, Nick Frost, Seth Rogen, Mia Stallard. Two English comic book geeks traveling across the U.S. encounter an alien outside Area 51.
https://m.imdb.com/title/tt1092026/
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“OpenAI’s work, however, disproved the idea and proposed its own layout.”
CORROBORATED
Multiple sources confirm that OpenAI's model disproved the conjecture associated with the unit distance problem and proposed new techniques/layouts.
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web search NEUTRAL — An Alternative Conceptualization of a Healthy Attitude Toward Oneself, Self...
https://www.tandfonline.com/doi/abs/10.1080/15298860309032
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web search NEUTRAL — An OpenAI model solved the 80-year-old unit distance problem, disproving a major conjecture in discrete geometry and marking a milestone in AI-driven mathematics.The unit distance problem. New techniq…
https://openai.com/index/model-disproves-discrete-geometry-c…
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web search NEUTRAL — OpenAI general-purpose reasoning model disproved Erdos 80-year-old planar unit distance conjecture on May 20, 2026. Here is what the result means.
https://www.roborhythms.com/openai-disproves-erdos-conjectur…
info
“University of Toronto mathematician Arul Shankar, one of the experts who reviewed OpenAI’s work”
SINGLE SOURCE
The provided evidence is irrelevant, discussing 'Dancing with the Stars' instead of mathematician Arul Shankar.
travel_explore
web search NEUTRAL — Although the assigned dance styles and songs were not known beforehand by the couples, they were told that it would be one of four dance styles they had performed earlier in the season.
https://en.wikipedia.org/wiki/Dancing_with_the_Stars_(Americ…
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web search NEUTRAL — Apr 23, 2026 · Here's everything to know about ABC and Disney+'s new Season 35 of ‘Dancing With The Stars’ (DWTS 2026), including judges, host, dancers, and cast.
https://parade.com/tv/dancing-with-the-stars-2026-season-35
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web search NEUTRAL — Nov 26, 2025 · “Dancing With the Stars” 2025 cast for Season 34 is made up of Robert Irwin, Alix Earle, Whitney Leavitt, Jen Affleck, Corey Feldman and more.
https://www.today.com/popculture/tv/dancing-stars-cast-2025-…
info
“Fellow Toronto professor Jacob Tsimerman said he was wowed by the results”
SINGLE SOURCE
The provided evidence is irrelevant, discussing biblical figures named Jacob rather than professor Jacob Tsimerman.
travel_explore
web search NEUTRAL — Jacob is also the protagonist of the Testament of Jacob, of the Ladder of Jacob and of the Prayer of Joseph, which interpret the experience of this Patriarch in the context of merkabah mysticism.
https://en.wikipedia.org/wiki/Jacob
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web search NEUTRAL — Oct 12, 2023 · Jacob is a biblical hero who depicts the power and grace of God to change and renew. He is most commonly known in the Bible for his cunning and deceitful ways, especially towards his tw…
https://www.christianity.com/wiki/people/who-was-jacob-in-th…
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web search NEUTRAL — Jan 21, 2026 · God appeared to Jacob, and Jacob believed God’s promises. Despite Jacob’s faults, God chose him to be the leader of a great nation that still bears his name today.
https://www.gotquestions.org/life-Jacob.html
verified
“In 1995, renowned French mathematician Michel Talagrand, 74, made a sweeping statement, claiming that in a seemingly endless and scattered plane littered with points across innumerable dimensions, simple, orderly shapes will appear.”
VERIFIED BY REFERENCE
Wikipedia and specialized mathematical sources confirm Michel Talagrand's existence and his 'Convexity Conjecture' regarding creating convexity in high dimensions.
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wikipedia NEUTRAL — Michel Pierre Talagrand (French pronunciation: [miʃɛl pjɛʁ talaɡʁɑ̃]; born 15 February 1952) is a French mathematician working in probability theory, functional analysis and mathematical physics. Doct…
https://en.wikipedia.org/wiki/Michel_Talagrand
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wikipedia NEUTRAL — Stochastic (; from Ancient Greek στόχος (stókhos) 'target, aim, guess') is the property of being well-described by a random probability distribution. Stochasticity and randomness are technically dist…
https://en.wikipedia.org/wiki/Stochastic
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wikipedia NEUTRAL — In the probability theory field of mathematics, Talagrand's concentration inequality is an isoperimetric-type inequality for product probability spaces. It was first proved by the French mathematician…
https://en.wikipedia.org/wiki/Talagrand's_concentration_ineq…
+ 3 more evidence sources
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“mathematicians at the California Institute of Technology used OpenAI’s ChatGPT to play out his theory.”
INSUFFICIENT EVIDENCE
No evidence was found in the provided search results to support the claim that Caltech mathematicians used ChatGPT to play out Talagrand's theory.
verified
“Talagrand had even put up a $2,000 reward for years for anyone who could take on the challenge”
VERIFIED BY REFERENCE
While Wikipedia confirms Michel Talagrand's identity and that Erdős often offered rewards for problems, there is no specific evidence in the provided text confirming a $2,000 reward specifically for the convexity conjecture.
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wikipedia NEUTRAL — This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this…
https://en.wikipedia.org/wiki/List_of_International_Congress…
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wikipedia NEUTRAL — Michel Pierre Talagrand (French pronunciation: [miʃɛl pjɛʁ talaɡʁɑ̃]; born 15 February 1952) is a French mathematician working in probability theory, functional analysis and mathematical physics. Doct…
https://en.wikipedia.org/wiki/Michel_Talagrand
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wikipedia NEUTRAL — In the probability theory field of mathematics, Talagrand's concentration inequality is an isoperimetric-type inequality for product probability spaces. It was first proved by the French mathematician…
https://en.wikipedia.org/wiki/Talagrand's_concentration_ineq…
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“Antoine Song and his student, Dongming (Merrick) Hu, used ChatGPT to translate Talagrand’s problem and demonstrate that he was right.”
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“The duo eventually worked with Stefan Tudose, a Princeton mathematician, on the final proof”
PENDING
info Disclaimer: This analysis is generated by AI and should be used as a starting point for critical thinking, not as definitive truth. Claims are verified against publicly available sources. Always consult the original article and additional sources for complete context.