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24 July 2012

Patterns of Prime

This morning Information Aesthetics pointed me to the Patterns of Prime, by Jason Davies (whose own page has some more interesting and beautiful work).

On the Patterns of Prime,
"For each natural number n, we draw a periodic curve starting from the origin, intersecting the x-axis at n and its multiples. The prime numbers are those that have been intersected by only two curves: the prime number itself and one.
Below the currently highlighted number, we also show its sum of divisors σ(n), and its aliquot sum s(n) = σ(n) - n, which indicate whether the number is primedeficientperfect or abundant.
Based on Sobre el patrón de los números primos by Omar E. Pol."

The pattern of 1 on  http://www.jasondavies.com/primos/

The pattern of 24 on  http://www.jasondavies.com/primos/

Move your mouse up and down the number line to explore the patterns.