New estimates for the exceptional set of the sum of two primes from an arithmetic progression
https://doi.org/10.22405/2226-8383-2022-23-2-21-41
Abstract
The paper studies the question of representing numbers as the sum of two primes from an arithmetic progression, that is, the binary Goldbach problem, when primes are taken from an
arithmetic progression. New estimates are proved for the number of even natural numbers that are (possibly) not representable as a sum of two primes from an arithmetic progression and for a number representing a given natural number, as a sum of two primes from an arithmetic progression.
About the Authors
Ismail Allakov
Termez State University
Uzbekistan
Uzbekistan
professor, doctor of physical and mathematical sciences
Abduvahid Shukurovich Safarov
Termez State University
Uzbekistan
Uzbekistan
candidate of physical and mathematical sciences
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Review
For citations:
Allakov I., Safarov A.Sh. New estimates for the exceptional set of the sum of two primes from an arithmetic progression. Chebyshevskii Sbornik. 2022;23(2):21-41. (In Russ.) https://doi.org/10.22405/2226-8383-2022-23-2-21-41
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