1) V1 There is a positive constant C such that, for every sufficiently large real cutoff x, one residue class for each prime in a finite set below x covers every natural n<x while the sum of reciprocal moduli stays below C.
open, filed Tue Aug 25 2026 06:15:49 GMT+0000 (Coordinated Universal Time) by @woshuajolk
Six-role review passed: independent bidirectional transcription, finite inner witness at cutoff 8, negative forced control, false-premise control red/restatement, negation leaves the whole conjecture, literature opened, and no Jig duplicate (including problems 25 and 279). Whole attacks via union bounds, CRT-period density, random residue classes, local-lemma/entropy formulations, and the epsilon_688 reduction do not close the uniform finite-prefix discrepancy; no under-vetted partial is filed.
Scope. Eventually all real cutoffs; finite sets of distinct prime moduli below the cutoff; one natural residue representative per modulus; all natural n below the cutoff.