Additive decomposition of signed prime
Imre Z. Ruzsa
TL;DR
This paper explores the structure of signed primes under the prime-tuple hypothesis, showing that they form a sumset, which offers new insights into their additive properties.
Contribution
It introduces the concept that signed primes constitute a sumset under the prime-tuple hypothesis, providing a novel perspective on prime number theory.
Findings
Signed primes form a sumset under the prime-tuple hypothesis
Provides a new additive perspective on signed primes
Suggests potential avenues for further prime number research
Abstract
Under the prime-tuple hypothesis, the set of signed primes is a sumset.
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Taxonomy
TopicsComputability, Logic, AI Algorithms · Rings, Modules, and Algebras · Advanced Topology and Set Theory