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The research aims to numerically verify the Riemann hypothesis through an exhaustive check of 298,190 zeros of the Riemann zeta function.

August 7, 2026Open Access

Riemann Hypothesis Under Siege: 298,190 Zeros Locked at sigma = 1/2

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The research aims to numerically verify the Riemann hypothesis through an exhaustive check of 298,190 zeros of the Riemann zeta function.
Utilized a Riemann-Siegel critical-line scan for zero checking with a 0.05 step.
Conducted a per-zero argument quantification with adaptive delta tracking.
Verified density and independence using Euler-Maclaurin and von Mangoldt approaches.
No signs of violations were found in 298,190 zeros, indicating strong support for the hypothesis.
Density matched the von Mangoldt formula, with S(200,000) at -9.8 and |S|/logT at 0.803.
Exact counts of zeros were confirmed with a negligible systematic error of 0.003%.

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Numerical verification finds no off-line suspects in 298,190 zeros of the Riemann zeta function, suggesting robustness of the hypothesis.

TE J (2026) studied this question.

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