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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
📂
Drop Odlyzko zero file here
or click to browse
Format: one γₙ per line (plain text). Example: zeros2, zeros3, zeros4 from Odlyzko's site.
Height T (approx)
zeros2≈74920 · zeros3≈10¹²
Max zeros to use
Primes to test
Pearson r
p-value
Primes positive
Zeros used
C ≈ A/B ratio
Comparison with published results
zeros2 (ref)
0.013
Reference result
zeros3 (ref)
0.014
Reference result
Your result
← Just computed
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 replication, bootstrap controls, and peer review are needed before drawing any strong conclusions.