论文标题
二进制戈德巴赫的猜想的“垂直”概括,该猜想适用于具有任何顺序I(i-primes)的主要索引的素数
A "Vertical" Generalization of the binary Goldbach's Conjecture as applied on primes with prime indexes of any order i (i-primes)
论文作者
论文摘要
本文是一项基于我们的早期论文的调查(“二元戈德巴赫的'垂直'概括,这些猜想适用于'迭代'Prime with(Recursive)Prime索引(I-Primeths)[11]),我们提出了一篇论文,其中我们提出了对二进制/“强”强范围的“强”(gcc)的新概括(gcc)的新概括(gc)的吹捧金(gc),是一种吹嘘的福音(gc),是一种验forcanter torducation for torcature tortively tortical tortical tordiention for drimate forcant for torcature for torcature)基本上是一个元注射器,因为VGC指出了有限数量的Goldbach样猜想,而GC都适用于带有递归Prime索引的“迭代”素数(命名为“ I-Primes”)。 VGC是由本文的作者在2007年发现的,此后(通过计算验证)将其改进并扩展到目前(2020年)。 VGC将其视为素数非常重要的“元注射”,因为它陈述了一个新类,其中包含比GC更强/更严格的猜测。 VGC在优化GC实验验证方面具有很大的重要性(包括其他可能的理论和实际应用)。 VGC也可以被视为素数分布的非常特殊的自相似特性。本调查包含有关VGC的一些新结果。
This article is a survey based on our earlier paper ("The 'Vertical' Generalization of the Binary Goldbach's Conjecture as Applied on 'Iterative' Primes with (Recursive) Prime Indexes (i-primeths)" [11]), a paper in which we have proposed a new generalization of the binary/"strong" Goldbach's Conjecture (GC) briefly called "the Vertical Goldbach's Conjecture" (VGC), which is essentially a meta-conjecture, as VGC states an in finite number of Goldbach-like conjectures stronger than GC, which all apply on "iterative" primes with recursive prime indexes (named "i-primes"). VGC was discovered by the author of this paper in 2007, after which it was improved and extended (by computational verifications) until the present (2020). VGC distinguishes as a very important "meta-conjecture" of primes because it states a new class containing an infinite number of conjectures stronger/stricter than GC. VGC has great potential importance in the optimization of the GC experimental verification (including other possible theoretical and practical applications in mathematics and physics). VGC can be also regarded as a very special self-similar property of the distribution of the primes. This present survey contains some new results on VGC.