Mathematicians have long been fascinated by the question of sum-free sets, groups of integers where no two add up to another. A problem proposed by Paul Erdős in 1965 remained unresolved for decades. In early 2023, Benjamin Bedert provided a significant proof demonstrating that any integer set contains a large sum-free subset. This breakthrough not only addresses Erdős's question but also merges various mathematical techniques to expose underlying structures in addition, indicating a rich terrain yet to be explored in this basic operation.
"It's a fantastic achievement," Sahasrabudhe said.
"Somehow, it's still very mysterious in a lot of ways," said Benjamin Bedert.
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