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On pairs of equations in unlike powers of primes and powers of 2. (English) Zbl 1432.11137
Summary: In this paper, we obtained that when \(k=455\), every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and \(k\) powers of 2.

MSC:
11P32 Goldbach-type theorems; other additive questions involving primes
11P05 Waring’s problem and variants
11P55 Applications of the Hardy-Littlewood method
Software:
DERIVE
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