Number Theory

    

Proof of Goldbach’s Conjecture and the Twin Prime Conjecture

Authors: Ryujin Choi

We study the distribution of integers obtained by removing fixed residue classes moduloprimes. Using an explicit upper-bound sieve argument, we show that admissible integers cannotoccupy arbitrarily long contiguous intervals. In the case of two arithmetic progressions, thisleads to the existence of simultaneous prime values. As a consequence, Goldbach’s conjectureand the twin prime conjecture follow.

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[v1] 2026-02-17 00:46:47

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