Email this article On the Partition of an Odd Number into Three Primes in a Prescribed Proportion
- Authors: Sagdeev A.A.1
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Affiliations:
- Moscow Institute of Physics and Technology (National Research University)
- Issue: Vol 106, No 1-2 (2019)
- Pages: 98-107
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/151808
- DOI: https://doi.org/10.1134/S0001434619070101
- ID: 151808
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Abstract
We prove that, for any partition 1 = a + b + c of unity into three positive summands, each odd number n can be subdivided into three primes n = pa(n) + pb(n) + pc(n) so that the fraction of the first summand will approach a, that of the second, b, and that of the third, c as n → ∞.
About the authors
A. A. Sagdeev
Moscow Institute of Physics and Technology (National Research University)
Author for correspondence.
Email: xp1@protonmail.com
Russian Federation, Dolgoprudnyi, Moscow Oblast, 141701
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