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On the binary Goldbach conjecture

descriptionPublicationkeyboard_double_arrow_right Preprint 01 Jan 2022Publisher:figshare
Authors: Kubalalika, Tatenda;

doi: 10.6084/m9.figshare.21342042.v4 , 10.6084/m9.figshare.21342042.v9 , 10.6084/m9.figshare.21342042.v5 , 10.6084/m9.figshare.21342042.v3 , 10.6084/m9.figshare.21342042.v13 , 10.6084/m9.figshare.21342042.v11 , 10.6084/m9.figshare.21342042.v1 , 10.6084/m9.figshare.21261969 , 10.6084/m9.figshare.21342042.v6 , 10.6084/m9.figshare.21342042.v12 , 10.6084/m9.figshare.21342042.v10 , 10.6084/m9.figshare.21342042.v8 , 10.6084/m9.figshare.21342042.v2 , 10.6084/m9.figshare.21342042.v7 , 10.6084/m9.figshare.21342042.v14 , 10.6084/m9.figshare.21261969.v8

On the binary Goldbach conjecture

Abstract

By exploiting some classical identity of Rademacher, Buchstab and , we demonstrate that every even integer greater than 2 and congruent to 2 mod 4 can be expressed as a sum of two odd primes. This proves the binary Goldbach conjecture for the specified integers. Addendum: The previous versions addeessed the problem for even integers congruent to 2 mod 4. The latest version proves the full conjecture.

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    popularity
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green