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
Full paper (PDF, 136 Kb)

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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

Abstract

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 = [n^c].

Keywords

• Goldbach problem
• Prime numbers
• Circle method

2010 Mathematics Subject Classification

• 11N36
• 11P32

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