Abstract
This article documents my journey down the rabbit hole, chasing what I have come to know as a particularly unyielding problem in Ramsey theory on the integers: the 2-large conjecture. This conjecture states that if D⊆ℤ+ has the property that every 2-coloring of ℤ+ admits arbitrarily long monochromatic arithmetic progressions with common difference from D, then the same property holds for any finite number of colors. We hope to provide a roadmap for future researchers and also provide some new results related to the 2-large conjecture.
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