Theorem (1 + 1.75) on the Goldbach conjecture
Ruiyi Zhang · Preprint, 2026-11-12 · 106 pages
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Abstract
Every sufficiently large even integer N has a representation N = p + rq, where p, q are prime, r = 1 or prime, and r ≤ q^(a−1) = q^(3/4). In the terminology of Li and Liu, this proves Proposition (1 + a) for a = 1.75 = 7/4. A weighted sieve combines thirteen signed row estimates with a switched upper bound. The directed comparison gives D_B > 1.967088903489691335582703173494 and c_{K2,G0} I(b) < 1.966859949178424046530804965344. The exact margin enclosure is D_B − c_{K2,G0} I(b) > 0.000228954311267289051898208151.
Cite
Ruiyi Zhang, Theorem (1 + 1.75) on the Goldbach conjecture, preprint, Zenodo, 2026. https://doi.org/10.5281/zenodo.24184562