Keywords:-
Article Content:-
Abstract
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. In 1995, Olivier Ramare proved that any even number is the sum of no more than 6 primes.[9] The second problem is about the infinity of twin primes. The author carries out the proof by the methods of elementary number theory.
References:-
References
Terence Tao Google+- Busy day in analytic number theory; – Harald. Helfgott has…
Major arcs for Goldbach`s, H.A. Helfgott // arxiv 1305.2897
Goldbach Variations// SciAm blogs, Evelyn Lamb, May 15, 2013.
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
Weisstein, Eric W. Goldbach Conjecture(English.)on the site Wolfram MathWorld.
Yuri Matiyasevich. Hilbert’s Tenth Problem: What was done and what is to be done.
de Polignac A. Recherches nouvelles sur les nombres premiers. 1849 .