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arxiv: 1511.03409 · v2 · pith:3CWVACEInew · submitted 2015-11-11 · 🧮 math.NT

Explicit Chen's theorem

Tomohiro Yamada This is my paper
classification 🧮 math.NT
keywords cheneveneveryexplicitnumberprimeprimesproduct
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We show that every even number $>\exp\exp 36$ can be represented as the sum of a prime and a product of at most two primes.

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  1. An effective Bombieri-Vinogradov error term for sifting problems

    math.NT 2025-10 conditional novelty 6.0

    Any classical sifting problem equipped with a Bombieri-Vinogradov error term can be made fully effective by adjusting the sieve bounds to avoid Siegel-zero complications, preserving the original asymptotic form.