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The Exceptional Set in Goldbach's Problem with two Chen Primes
Lasse Grimmelt, Joni Ter\"av\"ainen
https://arxiv.org/abs/2508.16400 https://a…

The Exceptional Set in Goldbach's Problem with two Chen Primes
We show that all natural numbers $n\equiv 4\pmod 6$ are the sum of two Chen primes (primes $p$ such that $p+2$ has at most two prime factors), apart from a power-saving set of exceptions. This improves on various previous results and is optimal, barring substantial progress on the twin prime or binary Goldbach conjectures. The proof is based on constructing a non-negative model for the Chen primes in a suitable approximate sense. To do this, we develop an efficient sieving strategy that makes…

Replaced article(s) found for math.GM. https://arxiv.org/list/math.GM/new
[1/1]:
- On The Infinitude of the Twin Primes
Berndt Gensel
https://