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Zhi-Xin Liu

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Preprint Oct 2026

$6$ powers of $2$ in the Linnik--Goldbach problem

Linnik's approximation to Goldbach's conjecture concerns the representation of sufficiently large even integers as the sum of two primes and a bounded number of powers of two. We prove that $6$ powers of $2$ suffice unconditionally and that $5$ suffice under the GRH, improving previous works.

Hui-Xi Li, Zhi-Xin Liu · 0 citations

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