{"id":"openai-math/Catalans-constant-is-irrational","pdf":"https://github.com/openai/math/blob/main/preprints/Catalans-constant-is-irrational-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Catalans-constant-is-irrational-September-24-2026","tags":["irrationality","number-theory","transcendental-numbers"],"score":0,"title":"Catalan's constant is irrational","domain":"Number theory","family":"005","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.NT","summary":"We prove that Catalan's constant $`G=\\sum_{j\\geq0}(-1)^j/(2j+1)^2`$ is irrational.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":1,"published":"2026-09-24","reactions":{},"discussion":[{"url":"https://galoisrepresentations.org/2026/10/08/a-brief-digest-of-some-new-openai-results/#:~:text=certain%20optimizations%20are%20taking%20place%20without%20being%20motivated%20at%20all","kind":"web","site":"galoisrepresentations.org","text":"certain optimizations are taking place without being motivated at all. I am helping to run a conference at SLMath on irrationality in January, and one of our tasks will clearly be to try to understand what these new methods are, and whether they are simply new tricks or evidence of something more…","added":"2026-10-24","title":"A Brief Digest of Some New OpenAI Results | Persiflage","author":"Persiflage"}],"formalized":false,"family_title":"Irrationality of Catalan’s constant"}