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arXiv · 2409.08968

Almost all primes are not needed in Ternary Goldbach

Debmalya Basak·Raghavendra N. Bhat·Anji Dong·Alexandru Zaharescu
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Abstract

The ternary Goldbach conjecture states that every odd number $m \geqslant 7$ can be written as the sum of three primes. We construct a set of primes $\mathbb{P}$ defined by an expanding system of admissible congruences such that almost all primes are not in $\mathbb{P}$ and still, the ternary Goldbach conjecture holds true with primes restricted to $\mathbb{P}$.

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Debmalya Basak, Raghavendra N. Bhat, Anji Dong, Alexandru Zaharescu. 2024-09-13. Almost all primes are not needed in Ternary Goldbach. https://arxiv.org/abs/2409.08968

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