A note on the Cramér-Granville model

2025/12/18 by Táfula, Christian
#05D40 #11N32 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2512.16557

Abstract

We show the existence of a set A⊆ ℤ_{≥ 2} satisfying the estimates of the Bateman--Horn conjecture, Goldbach's conjecture, and also #\p≤ x prime ~|~ p∈ A\ ≫ x(loglog x)/(log x)².

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