Abstract
In this paper, we shall prove that for a sufficiently large odd numberN, the equation\(N = P_1 + P_2 + P{}_{3,{\text{ }}}\frac{N}{3} - {\text{ }}N^{0.6 + \varepsilon }< p{}_i \leqslant {\text{ }}\frac{N}{3} + N^{^{0.6 + \varepsilon } {\text{ }}} \left( {i{\text{ = }}1, 2 ,3} \right)\) has solutions.
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The Project Supported by National Natural Science Foundation of China
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Chaohua, J. Three primes theorem in a short interval (V). Acta Mathematica Sinica 7, 135–170 (1991). https://doi.org/10.1007/BF02633945
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DOI: https://doi.org/10.1007/BF02633945