Number Theory

    

A Relationship Between Position and Number

Authors: Silvio Gabbianelli

By observing the relative positions of odd composite numbers in the set of odd natural numbers up to a given n, the positions of the prime numbers can be logically derived by subtraction. Not only that, but a linear, albeit parametric, function can also be deduced that can provide all and only the odd composite natural numbers up to n, and therefore all the prime numbers up to n. This allows us toformulate the conjecture that the set of prime numbers (except 2) is the well-ordered complementary set of odd composite numbers. This ordering can also be seen using the Cartesian line y = 2x + 1. Other lines and different numberings can highlight other possible properties of prime numbers.

Comments: 7 Pages. (Note by viXra Admin: Please cite and list scientific references)

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[v1] 2026-01-05 20:31:18

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