Empirical Falsification of Classical Analytic Frameworks: Data up to K=80 Million

Junqing Chen's 2026 work provides data and analysis based on the modulo-6 prime orbit 6K±1 with full-traversal measurements up to K=80,000,000. The dataset, hosted on figshare, aims to demonstrate the invalidation of classical prime number frameworks and prove the twin prime conjecture. All data are described as reproducible with zero deviation.

Use Cases

• Verify claims about the invalidation of the Prime Number Theorem framework based on the modulo-6 prime orbit data.
• Analyze systematic deviations from the Hardy–Littlewood asymptotic formula for twin primes mentioned in the description.
• Reproduce the proof of the twin prime conjecture using the provided full-traversal measurements.
• Study prime density patterns within the K=80,000,000 interval described in the work.

Strengths

• Data covers a large interval up to K=80,000,000 for the modulo-6 prime orbit.
• Claims full reproducibility with zero deviation for all data.
• Released under a permissive CC-BY-4.0 license.

Limitations

• Description metadata is limited; actual data quality requires manual inspection after download.
• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.

Provenance

Source

figshare

Collection Method

Based on full-traversal measurements of the modulo-6 prime orbit 6K±1.

Time Range

Data up to K=80,000,000.

Freshness

Last updated 2026-05-04 04:55:05; freshness should be verified.

Geography

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