← 📐 Mathematics

🔢 Number Spirals

Spiral type
Colour scheme
Max N
Primes found
Prime density
Prime
Composite
N=1 (origin)
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🔢 Number Spirals — Ulam & Sacks

Discover hidden patterns in prime numbers! The Ulam spiral reveals mysterious diagonal lines of primes. Sacks spiral and Fibonacci sunflower show how primes connect to nature's geometry.

🔬 What It Demonstrates

Numbers are placed in spiral patterns. Prime numbers are highlighted, revealing unexpected structures — diagonal lines in Ulam's spiral correspond to prime-generating quadratic polynomials.

🎮 How to Use

Switch between Ulam, Sacks and Fibonacci spirals. Pan and zoom. Toggle composite highlighting. Export as PNG.

💡 Did You Know?

Ulam discovered his spiral doodling during a boring meeting in 1963. The visible diagonals correspond to polynomials like n² + n + 41, which Euler noted produces primes for n = 0 to 39.