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66 powers of 22 in the Linnik--Goldbach problem

Huixi Li, Zhixin Liu

Source record

Source: arXiv

Published: Oct 11, 2026

arXiv: 2610.15784

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Source abstract

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 66 powers of 22 suffice unconditionally and that 55 suffice under the GRH, improving previous works.

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$6$ powers of $2$ in the Linnik--Goldbach problem — Mathematical Frontier Network