S. I. Dimitrov

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 24, 2018, Number 2, Pages 6—20

DOI: 10.7546/nntdm.2018.24.2.6-20

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## Details

### Authors and affiliations

S. I. Dimitrov

*Faculty of Applied Mathematics and Informatics, Technical University of Sofia
8 St. Kliment Ohridski Blvd., 1756 Sofia, Bulgaria
*

### Abstract

In the present paper we prove that every sufficiently large odd integer *N* can be represented in the form *N* = *p*_{1} + *p*_{2} + *p*_{3}, where *p*_{1}, *p*_{2}, *p*_{3} are primes, such that *p*_{1} = *x*^{2} + *y*^{2} + 1, *p*_{2} = [*n ^{c}*].

### Keywords

- Goldbach problem
- Prime numbers
- Circle method

### 2010 Mathematics Subject Classification

- 11N36
- 11P32

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## Cite this paper

Dimitrov, S. I. (2018). The ternary Goldbach problem with prime numbers of a mixed type. Notes on Number Theory and Discrete Mathematics, 24(2), 6-20, doi: 10.7546/nntdm.2018.24.2.6-20.