Are there arbitrarily long arithmetic progressions in the sequence of twin primes?
Pintz, Janos
Original · EN
The main result of the paper is that assuming that the level θ of distribution of primes exceeds 1/2, then there exists a positive d≤ C(θ) such that there are arbitrarily long arithmetic progressions with the property that p'=p+d is the next prime for each element of the progression. If θ>0.971, then the above holds for some d≤ 16.
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