On the sum of the squares of four prime numbers from the arithmetic progression
https://doi.org/10.22405/2226-8383-2025-26-5-53-72
Abstract
The work studies the problem of representing the natural number 𝑛 as the sum of the squares
of four prime numbers from an arithmetic progression. The number of natural numbers that
cannot be represented in the specified form has been estimated, i.e. the exceptional set of the
problem, is estimated.. Also, for the first time, a lower estimate was obtained for the number
of representations of a given non-exceptional 𝑛 in the indicated form.
About the Authors
Ismail Allakov
Termez State University
Uzbekistan
Uzbekistan
doctor of physical and mathematical sciences, professor
Oybek Shanazarovich Imamov
Termez State University
Uzbekistan
Uzbekistan
basic doctoral student
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Review
For citations:
Allakov I., Imamov O.Sh. On the sum of the squares of four prime numbers from the arithmetic progression. Chebyshevskii Sbornik. 2025;26(5):53-72. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-5-53-72
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