Visualising the Sieve of Eratosthenes

[a nicol]

There is an interesting javascript app here: http://www.divisorplot.com/

This can be used to gain a unique visualisation of how divisors are distributed.

I have compiled some screen grabs of the prime exponent 2^n region here:
https://i.imgur.com/rmIfqUK.jpg

I find it fascinating the way divisors sometimes form parabola, and the symmetry of divisors around the square root line.

The python code to reproduce this is simply:

for i,row in enumerate(2dArray,start=1):
count = i
while count < arraysize:
row[count] = 1
count = count + i

Here is the same approach published by the American Mathematical Society:
https://www.ams.org/notices/200805/tx080500579p.pdf