素数 K 元组的明确界限

Thomas Dubbe
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引用次数: 0

摘要

让 $K\geq 2$ 是一个自然数,$a_i,b_i\in\mathbb{Z}$ 为$i=1,\ldots,K-1$。我们利用大筛子推导出素数 $k$-tuplets 的明确上限,即所有 $a_ip+b_i$ 都是素数的素数 $p\leq x$ 的个数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Explicit bounds for prime K-tuplets
Let $K\geq 2$ be a natural number and $a_i,b_i\in\mathbb{Z}$ for $i=1,\ldots,K-1$. We use the large sieve to derive explicit upper bounds for the number of prime $k$-tuplets, i.e., for the number of primes $p\leq x$ for which all $a_ip+b_i$ are also prime.
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