OpenAI model solves 80-year-old planar unit distance problem posed by legendary mathematician Erdős
OpenAI's internal reasoning model has successfully disproved the planar unit distance conjecture, a problem posed by mathematician Paul Erdős in 1946. This conjecture had remained unresolved for nearly eight decades, challenging many mathematicians. The AI's findings reveal an infinite family of point configurations that achieve a greater number of unit distances than previously believed possible.
- ▪The planar unit distance conjecture was first proposed by Paul Erdős in 1946.
- ▪OpenAI's model discovered that the number of unit-distance pairs can grow at a rate of approximately n^(1+0.014).
- ▪Fields Medalist Tim Gowers validated the results of the AI's findings.
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OpenAI model solves 80-year-old planar unit distance problem posed by legendary mathematician Erdős An internal OpenAI reasoning model disproved a conjecture from 1946 that had stumped mathematicians for decades, with Fields Medalist Tim Gowers validating the result. Share Add us on Google by Editorial Team May. 20, 2026 window.sevioads = window.sevioads || []; var sevioads_preferences = []; sevioads_preferences[0] = {}; sevioads_preferences[0].zone = "01f21ccf-2092-46b1-9ac7-8c44cc782e0f"; sevioads_preferences[0].adType = "native"; sevioads_preferences[0].inventoryId = "c5700508-581b-472c-8fdd-a931cdbfc8e1"; sevioads_preferences[0].accountId = "1e47efc1-ec2d-4fca-a8b9-354e249e5095"; sevioads.push(sevioads_preferences); A machine just did something that eluded some of the sharpest…
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