Prime Number Background Generator

prime_background.py

from sympy import sieve
from PIL import Image, ImageDraw

# I like to make SCREEN_WIDTH = BOXES_WIDE. This will make each box 1 pixel.
SCREEN_WIDTH = 1000
SCREEN_HEIGHT = 2400
BOXES_WIDE = 1000
box_size = SCREEN_WIDTH // BOXES_WIDE
BOXES_LONG = 2400 // box_size

num_primes = BOXES_LONG * BOXES_WIDE
sieve.extend(num_primes)

im = Image.new(mode="L", size=(SCREEN_WIDTH, SCREEN_HEIGHT))
draw = ImageDraw.Draw(im)

col_num = 0
row_num = 0
for box_num in range(1, num_primes + 1):
    if box_num in sieve:
        x1 = col_num * box_size
        y1 = row_num * box_size
        x2 = (col_num + 1) * box_size - 1
        y2 = (row_num + 1) * box_size - 1

        draw.rectangle([(x1, y1), (x2, y2)], fill=175)

    col_num += 1

    if col_num % BOXES_WIDE == 0:
        col_num = 0
        row_num += 1

im.show()

This script places grey boxes (or pixels) along a blank black image if the corresponding number of the box is prime. The result kinda looks like static from an old TV but you can see some cool patterns too! I like to use it for my phone background.