OpenAI makes breakthrough in 80-year-old math problem with ‘ingenious ideas’
OpenAI has made a significant breakthrough by solving the planar unit distance problem, a geometry challenge that has puzzled mathematicians for 80 years. The company's model disproved the prevailing theory that a square grid was the optimal layout for maximizing pairs of equidistant points. Experts have praised the model's ability to generate original ideas, suggesting it demonstrates a level of creativity previously thought to be exclusive to human mathematicians.
- ▪OpenAI's model solved the planar unit distance problem first posed by Paul Erdős in 1946.
- ▪The model disproved the theory that a square grid was the best layout for maximizing pairs of equidistant points.
- ▪Experts noted that the model displayed creativity and intuition in arriving at its solution.
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Story provenance
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Record
| Original publisher | New York Post |
| Canonical URL | https://nypost.com/2026/05/21/world-news/openai-makes-breakthrough-in-80-year-old-math-problem-with-ingenious-ideas/ |
| Publication time | Thu, 21 May 2026 16:08:36 -0400 |
| Retrieval time | 2026-05-21T20:11:35.676Z |
| Last seen | 2026-05-21T20:16:17.425Z |
| Headline source | Publisher (no WeSearch rewrite) |
| Excerpt source | publisher body |
| Excerpt method | First ~120 words (~800 chars) of extracted publisher body, fair-use limited. |
| Summary | WeSearch · cerebras-chat (WeSearch summarizer) |
| Summary source text | contentText |
| Citation coverage | Summary is a WeSearch-generated derivative; primary citation is the original publisher URL. |
| Cluster | nEEw1ZWRrA0D · 3 stories |
| Cluster logic | Grouped by semantic title/content similarity across sources within a rolling window. Same-publisher template collisions are excluded from coverage comparison. |
| Ranking reason | Story pages are not engagement-ranked. Hub feeds use recency, with optional source-diversified chronological ordering (cap consecutive stories per source). No personalized ranking. |
| Publisher visit | Yes — open original |
| Substitutes article? | No — link-out required for full text |
Rights status (four layers)
WeSearch handling by dimension
| Indexing | May the item be indexed (stored, ranked, made findable)? | Allowed |
| Snippet | May a short excerpt of the publisher's text be shown? | Allowed |
| AI summary | May WeSearch generate its own short summary of the article? | Limited |
| Retrieval / RAG | May the content be exposed for third-party retrieval-augmented generation? | Not asserted |
| Model training | May the content be used to train AI models? | Not asserted |
| Commercial reuse | May the content be reused commercially? | Not permitted |
Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
World News OpenAI makes breakthrough in 80-year-old math problem with ‘ingenious ideas’ By Ronny Reyes Published May 21, 2026, 4:08 p.m. ET See more of our coverage in your search results. Add The New York Post on Google OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” 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.
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Excerpt limited to ~120 words for fair-use compliance. The full article is at New York Post.