English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

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 wehave proposed a new generalization of the binary/"strong" Goldbach's Conjecture(GC) briefly called "the Vertical Goldbach's Conjecture" (VGC), which isessentially a meta-conjecture, as VGC states an in finite number ofGoldbach-like conjectures stronger than GC, which all apply on "iterative"primes with recursive prime indexes (named "i-primes"). VGC was discovered bythe author of this paper in 2007, after which it was improved and extended (bycomputational verifications) until the present (2020). VGC distinguishes as avery important "meta-conjecture" of primes because it states a new classcontaining an infinite number of conjectures stronger/stricter than GC. VGC hasgreat potential importance in the optimization of the GC experimentalverification (including other possible theoretical and practical applicationsin mathematics and physics). VGC can be also regarded as a very specialself-similar property of the distribution of the primes. This present surveycontains some new results on VGC.

A "Vertical" Generalization of the binary Goldbach's Conjecture as applied on primes with prime indexes of any order i (i-primes)