Prime Sums
Anupam Datta, Nir Elber, Raymond Feng, David Lowry-Duda, Henry Xie

TL;DR
This paper explores graphs based on prime sums, revealing their connection to prime gap distribution and Cramér's model, and extends the discussion to Gaussian integers.
Contribution
It introduces a novel graph-theoretic framework for analyzing prime sums and their relation to prime gaps, including generalizations to Gaussian integers.
Findings
Graph properties relate to prime gap distribution
Connections to Cramér's probabilistic model
Extensions to Gaussian integers discussed
Abstract
We study the properties of certain graphs involving the sums of primes. Their structure largely turns out to relate to the distribution of prime gaps and can be roughly seen in Cram\'er's model as well. We also discuss generalizations to the Gaussian integers.
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Taxonomy
TopicsAnalytic Number Theory Research · Graph Labeling and Dimension Problems
