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Prime-Correlation Analysis LabШинжилгээний Лаб

Run the exact analysis in your browser. Upload any Odlyzko zero data and check whether the prime-indexed excess pattern replicates in your data — no server, no installation.Браузерт яг шинжилгээ ажиллуул. Одлызкогийн тэгийн өгөгдөл upload хийж прайм-индекстэй илүүдлийн хэв маяг өөрийн өгөгдөлд давтагдах эсэхийг шалга — сервер, суулгалт шаардахгүй.

1
Upload zerosOdlyzko zero file (one number per line, imaginary parts γₙ)
2
ConfigureSelect primes to test and normalization height T
3
Run & compareGet r, p-value, scatter plot — compare with published results
Known bootstrap results
Dataset N r Bootstrap Verdict
zeros1 100K 0.6847 0.36 ± 0.26 UNSTABLE
zeros_ht 10K 0.5113 0.09 ± 0.30 UNSTABLE
zeros6 2M 0.4509 0.68 ± 0.09 MODERATE

Signal stability improves with N. Upload your file to compare.

📂
Drop Odlyzko zero file here
or click to browse
Format: one γₙ per line (plain text). Example: zeros_ht, zeros1, zeros6 from Odlyzko's site (zeros2/3/4 on their server).
Height T (approx)
zeros_ht≈74920 · zeros1≈10¹²
Max zeros to use
Primes to test
▶ Run BK Analysis
Pearson r
p-value
Primes positive
Zeros used
C ≈ A/B ratio
Bootstrap reference resultsBootstrap лавлах үр дүн
Dataset N r Bootstrap mean r Verdict
zeros1 100K 0.6847 0.36 ± 0.26 UNSTABLE
zeros_ht 10K 0.5113 0.09 ± 0.30 UNSTABLE
zeros6 2M 0.4509 0.68 ± 0.09 MODERATE
Your result:
A(p) vs B(p) = (log p)²/p — BK amplitude scaling
Prime excess A(p) at each prime
Prime data table
pB(p) = (log p)²/pA(p) observedR(p) = A/BExcess
⚠️ Known Limitations: These are computational observations only. Fitting bias, normalization sensitivity, multiple-testing effects, and finite-window artifacts have not been fully ruled out. Independent independent replication, bootstrap controls, and peer review are needed before drawing any strong conclusions.
Bootstrap Stability TestBootstrap тогтвортой байдлын шалгалт
Mean r
Std r
95% CI low
95% CI high
Run bootstrap to see stability verdict. Bootstrap ажиллуулж тогтвортой байдлыг шалга.