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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) = ∞

Alternate names

History

formulation date | 1849 (175 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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