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SOURCE:   Almanac of Modern Science and Education. Tambov: Gramota, 2017. № 4-5. P. 83-89. ISSN 1993-5552.
SCIENTIFIC AREA: Physical-Mathematical Sciences
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ON SYMMETRICAL ARRANGEMENT OF PAIRS OF PRIME AND COMPOSITE ODD NUMBERS IN NATURAL SEQUENCE

Panteleev Vyacheslav Petrovich



Abstract. The article examines the principle of symmetrical arrangement of the pairs of prime odd numbers and pairs of composite odd numbers in a series, the sum of which is equal to the even number restricting the sequence. The paper also considers symmetrical arrangement of odd numbers when addressing the number theory problems (Goldbach’s conjecture and Fermat’s Last Theorem).
Key words and phrases: простая симметрия, двойная симметрия, пары чисел, разность между простыми и составными числами, прямая и обратная последовательность сложения разностей, simple symmetry, double symmetry, pairs of numbers, difference between prime and composite numbers, direct and reverse sequence of difference sums.
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References:
  1. Panteleev V. P. Konechno-raznostnyi podkhod v zadache opredeleniya tselykh polozhitel'nykh reshenii uravneniya Ferma // Issledovaniya po algebre, teorii chisel, funktsional'nomu analizu i smezhnym voprosam: mezhvuzovskii sbornik nauchnykh trudov. Saratov: Izd-vo Saratovskogo universiteta, 2005. Vyp. 3. S. 106-111.

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