Affiliation:
1. 1 University of Tsukuba Institute of Mathematics Tsukuba 305-8571 Japan
2. 2 University of Plovdiv Faculty of Mathematics and Informatics Plovdiv 4000 Bulgaria
Abstract
Let
A, ɛ
> 0 be arbitrary. Suppose that
x
is a sufficiently large positive number. In this paper we prove that the number of integers
n
∈ (
x, x
+
H
], satisfying some natural conditions, which cannot be represented as the sum of five cubes of primes is ≪
H
(log
x
)
−A
, provided that
x2/3+
ɛ
≦
H
≦
x
.
Cited by
1 articles.
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1. On prime vs. prime power pairs;Mathematische Zeitschrift;2019-09-13