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Additions to the ternary Goldbach problem and solving two topical problems

Authors

Khusid Mykhaylo

Rubric:Mathematics
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The Goldbach-Euler binary problem is formulated as follows:
Any even number, starting from 4, can be represented as the sum of two primes.

The ternary Goldbach problem is formulated as follows:

Every odd number greater than 7 can be represented as the sum of three odd primes, which was finally solved in 2013.

The second problem is about the infinity of twin primes.

The author carries out the proof by the methods of elementary number theory.

Keywords

theory
solving
problems
in
number

References:

[1] Terence Tao— Google+— Busy day in analytic number theory; Harald. Helfgott has…

 [2] Major arcs for Goldbach`s,H. A. Helfgott // arxiv 1305.2897

 [3]Goldbach Variations// SciAm blogs, Evelyn Lamb, May 15, 2013

 [4]   Two Proofs Spark a Prime Week for Number Theory// Science 24 May 2013: Vol. 340 no. 6135 p. 913   doi:10.1126/science.340.6135.913

 [5]Weisstein, Eric W.Goldbach Conjecture(English.)on the site Wolfram MathWorld.

 [6] Yuri Matiyasevich. Hilbert’s Tenth Problem: What was done and what is to be done

[7] de Polignac, A. (1849). Recherches nouvelles sur les nombres premiers.

[8]"Mathematical Encyclopedia". M. 1977. Volume I, p. 94, article "Additive Problems".

[9] Prahar K. P. Distribution of prime numbers. - M .: "Mir", 1967. - 512 p.

Ian Stewart. The territory of prime numbers. Goldbach's problem // The Greatest

[10]Mathematical Problems. - M .: "Alpina non-fiction", 2016. - 460 p. – ISBN 978-5-91671-507-1.

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