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AI solves decades-old mathematical problem on its own

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This article is only available in German.

Some mathematicians were so prolific that people can barely keep up with the work they left behind. Paul Erdős (1913–1996) is a prime example: he left hundreds of unsolved problems. One of these, posed in 1975, has now been solved by an entirely AI-generated proof.

What happened?

AI models are increasingly impressing with their mathematical abilities. In this case, a model developed a proof largely independently, which experts subsequently checked. The mathematical community is continually learning how best to use such programs – as tools that generate ideas for humans to verify.

Why this matters to us

AI methods are also becoming increasingly important in actuarial work – for example, in model validation, reserving and the analysis of large datasets. However, the same principle applies as with the Erdős proof: results must be transparent and subject to expert scrutiny. This is precisely where actuaries’ responsibility lies.

Source: DER STANDARD

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