So cool! I'd like to be able to start at any number

I spammed the columns from 1 to 402 (with 400 rows), and i saw some cool patterns. I can see a few nodes of clockwise rotation that converges into a single node from >200 columns that starts makes its way down the screen. Trippy.

I made a screen recording of it: https://n0ssc.com/wp-content/uploads/2025/08/prime-doublespe...

          .....   ......   ......   ....   ..    ..   ......
         ..       ..   ..  ..   ..   ..    ...   ..   ..     
         ..       ..   ..  ...  ..   ..    .. .. ..   ..     
          .....   ......   ......    ..    .. .. ..   ..  ...
           .....  ...      .. ..     ..    ..   ...   ..   ..
              ..  ..       ..  ..    ..    ..    ..   ...  ..
         ......   ..       ..   ..  ....   ..    ..    .....

Ha, super, thanks for making it.

Check out 431 columns - this yields no obvious persistent patterns.

When choosing rows = 4000 and columns = 546, an interesting pattern emerges.

For all n ≥ 1, the ranges [243 + (n * 546)] to [249 + (n * 546)] inclusive appear to contain no prime numbers. Same with the ranges [297 + (n * 546)] to [303 + (n * 546)].

In both cases, the minimum gap between the closest neighbouring primes apears to be at least 10 (in decimal). Does anyone know of a number-theoretic explanation for this kind of pattern?