Number Theory

    

Twin Prime Formation Through a Proper Alliance of Layers of Odd Composite Sequences

Authors: Min Min Oo

This paper develops a Prime Pair Framework for studying twin primes using structured sequences of odd composites. The base sequenceO_1=9+6r_1, r_1≠((1+2x)^2-13)/6 " or" ((1+2x)^2-7)/6 provides intervals containing two odd integers, which may form twin primes if both are prime. When the general sequencesO_a=(2a+1)^2+(2+4a) r_a (a={2ⓜ,3ⓜ,4ⓜ,u2026ⓜ,k})and O_1are in proper alliance, the conditions are formed through lower, upper and double twin prime formation mechanisms.

Comments: 19 Pages. (Note by viXra Admin: Please cite and listed scientific references!)

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[v1] 2026-09-07 18:15:38

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