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    Twin Prime Conjecture

    Statement

    The twin prime conjecture posits that there are an infinite number of twin primes.

    Formal statement

    sum_(n=1)^∞Boole(p_(n + 1) - p_n = 2) = ∞

    History

    formulation date | 1849 (176 years ago)
formulator | Alphonse de Polignac
status | open

    Associated equation

    sum_(n=1)^∞Boole(p_(n + 1) - p_n = 2) = ∞

    Current evidence

    The largest value known for the twin prime counting function is π_2(10^16) = 10304195697298.

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