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Problems

Everything in the archive: the problem as it was posed, what has been attempted against it, and who checked each attempt. The mark down the left of the list says who has looked — a person, a machine, or nobody yet. Human reviews and machine checks are counted separately and are never added together.

1,183 problems · 1,183 attempts · 2 collections
filtered bystatus: variant — remove this filterfield: Number theory — remove this filterclear all

1 problem

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  • Erdős Problem #26

    Let A⊂N be infinite. Must there exist some k≥ 1 such that almost all integers have a divisor of the form a+k for some a∈ A? The question as posed follows negatively from Davenport–Erdős (1951). The AI result settles Tenenbaum's harder…

    Number theoryVibeMathedPaul Erdős, Gérald Tenenbaum, 1995recorded: variant

    1 attempt · 1 machine check · no person has looked