An Illustrated Theory of Numbers

CRANK

Distribution of primesPurchase from Fine Art America.The prime numbers between 1 and 1 billion are visualized at successively larger scales. The left column displays the primes from 1 to 100 as individuals. The small-scale irregularities smooth out as one considers primes between 1 and 1000, 1 and 10000, etc. The rightmost column displays the primes from 1 to 1 billion as an almost uniform shade of gray. The amount of black ink is precisely the density of primes, e.g., if 5% of numbers are prime within a range, that range is shaded by black ink at a density of 5%. Created as a vector graphic, and printed at high-resolution for crisp lines at large size. A size of 20" by 15" looks good on the wall.A high-resolution detail.Shop for art »Gauss and Eisenstein primesPurchase from Fine Art America.Within the Gaussian integers Z[i] and Eisenstein integers Z[w] (w a primitive cube root of unity), the Gaussian and Eisenstein prime numbers are displayed. Almost 100,000 primes are displayed in e…