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arXiv · 1506.05335

A proof of the strong twin prime conjecture

Men-Jaw Ho·Chou-Jung Hsu·Wai-Jane Ho
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Abstract

For integers x and k, let T(x;2k) denote the number of twin prime pairs (p,p+2k) with a distance 2k<=2x**0.5 and p<=x (not p+2k<=x). Let Tg(x;2x**0.5) denote the average of T(x;2k) for all 2k<=2x**0.5. Logically, T(x;2k) should be a function of Tg(x;2x**0.5). We first, propose a sliding model to estimate Tg(x;2x**0.5). Second, derive the relations between T(x;2k) and Tg(x;2x**0.5) from the sieve structure. Third, settle the errors caused by the dependence of primes.

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Men-Jaw Ho, Chou-Jung Hsu, Wai-Jane Ho. 2015-06-16. A proof of the strong twin prime conjecture. https://arxiv.org/abs/1506.05335

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