Home▸Mathematics▸2D Number Spirals — Ulam & Sacks Prime Plot

2D Number Spirals — Ulam & Sacks Prime Plot

A flat 2D canvas plot of the Ulam and Sacks number spirals with a real Sieve of Eratosthenes marking primes, plus perfect-square and modulus-residue highlight modes, hover-to-inspect factorization, pan and zoom.

Mathematics2DEasy60 FPS📱 Mobile-adapted⇄ 3D version

Details

CategoryMathematics

RenderingCanvas 2D

DifficultyEasy

Target FPS60

ControlsSpiral type (Ulam/Sacks) select; N slider (200-20000); Ulam cell-size slider; highlight-rule select (primes/perfect squares/modulus residue) with modulus k and residue r sliders; drag to pan and scroll to zoom; hover any point to inspect its value and factorization; Reset view and Save PNG buttons.

ulam-spiralsacks-spiralprime-numbersnumber-theorysieve-of-eratosthenesmathematics

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A flat 2D canvas rendering of the Ulam and Sacks number spirals. A real Sieve of Eratosthenes marks every prime up to N; perfect-square and modulus-residue highlight modes are computed the same honest way. Pan by dragging, zoom by scrolling, and hover any point to see its value and factorization.

⚙ Under the hood

ulam-spiralsacks-spiralprime-numbersnumber-theorysieve-of-eratosthenesmathematics

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install