The ternary Goldbach problem with prime numbers of a mixed type

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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Authors and affiliations

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


In the present paper we prove that every sufficiently large odd integer N can be represented in the form N = p1 + p2 + p3, where p1, p2, p3 are primes, such that p1 = x2 + y2 + 1, p2 = [nc].


  • 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.

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