Symmetrical Distribution of Primes and Their Gaps
نویسندگان
چکیده
منابع مشابه
Small Gaps between Primes or Almost Primes
Let pn denote the nth prime. Goldston, Pintz, and Yıldırım recently proved that lim inf n→∞ (pn+1 − pn) log pn = 0. We give an alternative proof of this result. We also prove some corresponding results for numbers with two prime factors. Let qn denote the nth number that is a product of exactly two distinct primes. We prove that lim inf n→∞ (qn+1 − qn) ≤ 26. If an appropriate generalization of ...
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In the preprint [3], Goldston, Pintz, and Yıldırım established, among other things, (0) lim inf n→∞ pn+1 − pn log pn = 0, with pn the nth prime. In the present article, which is essentially self-contained, we shall develop a simplified account of the method used in [3]. We include a short expository last section. Key word: Prime number. 1. Basic lemma. In this section we shall prove an asymptot...
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2021
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2021.115031