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- W2766453431 abstract "This article proposes a synthesized classification of some Goldbach-like conjectures, including those which are than Binary Goldbach's (BGC) and launches a new generalization of BGC briefly called the Vertical Binary Goldbach's Conjecture (VBGC), which is essentially a meta-conjecture, as VBGC states an infinite number of conjectures stronger than BGC, which all apply on iterative primes with recursive prime indexes (i-primeths). VBGC was discovered by author of this paper in 2007 and perfected (by computational verifications) until 2017 by using arrays of matrices of Goldbach index-partitions, which are a useful tool in studying BGC by focusing on prime indexes. VBGC distinguishes as a very important conjecture of primes, with potential importance in optimization of BGC experimental verification (including other possible theoretical and practical applications in mathematics and physics) and a very special self-similar property of primes set. Keywords: Primes with prime indexes; i-primeths; Binary Goldbach Conjecture; Goldbach-like conjectures; Vertical Binary Goldbach Conjecture. 2010 mathematics subject classification: 11N05 (Distribution of primes, URL: http://www.ams.org/msc/msc2010.html?t=11N05&btn=Current) OFFICIAL LINKS OF THIS PUBLISHED (OPEN) PEER-REVIEWED ARTICLE: http://www.sciencedomain.org/issue/3151 http://www.journalrepository.org/media/journals/JAMCS_69/2017/Oct/Andrei2522017JAMCS36895.pdf http://www.sciencedomain.org/review-history/21625 http://www.sciencedomain.org/metrics/21625" @default.
- W2766453431 created "2017-11-10" @default.
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- W2766453431 date "2017-10-01" @default.
- W2766453431 modified "2023-09-26" @default.
- W2766453431 title "(JAMCS - Original Research Article - 28.10.2017) The Vertical Generalization of the Binary Goldbach's Conjecture as Applied on Iterative Primes with (Recursive) Prime Indexes (i-primeths) (Journal of Advances in Mathematics and Computer Science)" @default.
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