arXiv Paper Claims Catalan's Constant Is Irrational

Andrew Curran reported that Zhi-Wei Sun, a mathematician at Nanjing University, posted a paper on arXiv titled Catalan's constant is irrational. Sun said he used GPT-5.6 Sol in the work. The paper addresses whether the constant G equals the alternating sum of reciprocals of odd squares is irrational, a question open since the nineteenth century. Curran received the link from Jimmy Apples and noted that language models called the result a potential historic breakthrough in number theory if the proof holds.