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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
##### Keywords:
circle method; Linnik problem; powers of 2
DERIVE
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