The Prime Sieve as a Stack of Orthogonal Periodic Fields

Every prime p emits a period-p exclusion field Mp. Stacked, their combined period is the primorial Lk = p1 · ·· pk, and the genuinely new information carried by pk is the orthogonal kill-set Ck. This lab collects the interactive views, the executable reference generator, and the write-ups in one place.

explore the views browse the theory graph read the code read the theory
CRT product structure Mertens attenuation additive entropy rational spectrum ℚ/ℤ wheel factorization theory graph

faint = full field Mp  ·  bright = orthogonal Ck  ·  bottom = survivors

Interactive assets

Theory browser

Theory Browser analysis/theory_browser.html open in new tab ↗
nodes · map · unresolved · corpus — served over HTTP (the browser fetches its graph with fetch()).

Algorithm sources

idle raw ↗
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Write-ups