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SOURCE:	Almanac of Modern Science and Education. Tambov: Gramota, 2014. № 12. P. 95-100.
SCIENTIFIC AREA:	Physical-Mathematical Sciences
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ABOUT THE SOLUTION OF GOLDBACH’S BINARY CONJECTURE

Romanov Vadim Nikolaevich
St. Petersburg State Technological Institute (Technical University)

Abstract. This article explores some characteristic features of prime numbers and on the basis of this the author proposes a solution of Goldbach’s binary problem. The interrelation of the problem with Lagrange’s hypothesis and other problems of numbers theory is considered. It is shown that the rightness of Lagrange’s hypothesis and Landau’s second problem follows from the existence of the solution of Goldbach’s binary conjecture.

Key words and phrases: простое число, проблема Гольдбаха, гипотеза Лагранжа, проблемы Ландау, периодичность простых чисел, порожденное число, порожденная последовательность, prime number, Goldbach’s problem, Lagrange’s hypothesis, Landau’s problem, periodicity of prime numbers, generated number, generated sequence

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References:

Vasilenko O. M. Sovremennye sposoby proverki prostoty chisel // Kiberneticheskii sbornik. 1988. Vyp. 25. S. 162-188.
Vygodskii M. Ya. Spravochnik po elementarnoi matematike. M.: Nauka (FML), 1962. 424 s.
Karpenko A. S. Logiki Lukasevicha i prostye chisla. M.: Nauka, 2000. 319 s.
Tsager D. Pervye 50 millionov prostykh chisel // Uspekhi matematicheskikh nauk. 1984. T. 39. № 3. S. 175-190.

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