The number theoretic conjecture we examine in this paper originates when trying to construct a characterizable generating set for the complex cobordism polynomial ring. To date there is no efficient, universal method for characterizing such a generating set. Wilfong conjectures that smooth projective toric varieties can act as these generators [7]. Toric varieties are related to polytopes by a bijective correspondence. Studying the combinatorial structure of these polytopes is much more manageable than studying properties of toric varieties directly. This gives rise to the number theoretic conjecture considered here. A proof of this number theoretic conjecture would in turn prove the conjecture that smooth projective toric varieties provide a generating set for the complex cobordism polynomial ring. Here, we do not provide a complete proof of the number theoretic conjecture, rather we give more evidence to the conjecture, building on prior work of Wilfong and Parry
