On the representation of large even integers as the sum of eight primes from positive density sets

Meng Gao

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arXiv · 2409.14460

On the representation of large even integers as the sum of eight primes from positive density sets

Meng Gao

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Abstract

We prove that if A is a subset of the primes, and the lower density of A in the primes is larger than 1/2, then every sufficiently large even integer can be written as the sum of eight primes from A. The constant 1/2 in this statement is the best possible.

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Meng Gao. 2024-09-22. On the representation of large even integers as the sum of eight primes from positive density sets. https://arxiv.org/abs/2409.14460

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