The prime grid contains arbitrarily large empty polygons
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/ Abstract
Abstract This paper proves a 2017 conjecture of De Loera, La Haye, Oliveros, and Roldán-Pensado that the “prime grid” {(p, q) ∈ ℤ2 : p and q are prime} ⊆ ℝ2 contains empty polygons with arbitrarily many vertices. This implies that no Helly-type theorem is true for the prime grid.
Journal: Advances in Geometry