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SOURCE:    Almanac of Modern Science and Education. Tambov: Gramota, 2017. № 2. P. 100-103.
SCIENTIFIC AREA:    Physical-Mathematical Sciences
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A WAY TO PROVE GOLDBACH BINARY HYPOTHESIS
Romanov Vadim Nikolaevich
Abstract. The article analyzes the problem of representing an even number as a sum of two odd summands. On this basis the author gives the proof of Goldbach binary hypothesis with the method of induction. The paper shows geometric interpretation of the obtained result. Consequences of validity of the binary hypothesis are formulated.
Key words and phrases: теория чисел, натуральные числа, представление четного числа в виде суммы двух нечетных чисел, бинарная гипотеза Гольдбаха, theory of numbers, natural numbers, representation of even number as sum of two odd numbers, Goldbach binary hypothesis
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References:
  1. Romanov V. N. Issledovanie fundamental'nykh problem teorii chisel. SPb.: Asterion, 2015. 91 s.
  2. Romanov V. N. O probleme predstavleniya polozhitel'nogo chisla v vide summy natural'nykh slagaemykh // Al'manakh sovremennoi nauki i obrazovaniya. Tambov: Gramota, 2013. № 3 (70). S. 140-146.
  3. Romanov V. N. O reshenii binarnoi problemy Gol'dbakha // Al'manakh sovremennoi nauki i obrazovaniya. Tambov: Gramota, 2014. № 12 (90). S. 95-100.
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