A proof of the strong twin prime conjecture
General Mathematics
2015-06-30 v2
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.
Keywords
Cite
@article{arxiv.1506.05335,
title = {A proof of the strong twin prime conjecture},
author = {Men-Jaw Ho and Chou-Jung Hsu and Wai-Jane Ho},
journal= {arXiv preprint arXiv:1506.05335},
year = {2015}
}
Comments
This paper has been withdrawn by the author due to a crucial error in Section 6