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    Erdős-Turán Conjecture

    Statement

    The Erdős-Turán conjecture states that if the sum of reciprocals of a set of integers diverges, then that set contains arbitrarily long arithmetic progressions.

    History

    formulation date | 1936 (88 years ago) formulators | Paul Erdős | Paul Turán status | open

    Associated prizes

    prize offered for solution | Erdős offered a $3, 000 prize for a proof. | The prize was increased to $5, 000 in 2008.

    Classes

    mathematical conjectures | prize mathematics problems | unsolved mathematics problems

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