[For Fun] Visualization

import matplotlib.pyplot as plt
import pandas as pd
import numpy as np

#Defines the range for the visualization
prime_range = range(0, 200000)

#creates list of primes
primes = [i for i in prime_range if 0 not in [i%n for n in range(2, i)]]
n_range = range(0, len(primes))

df = pd.DataFrame(primes, columns=['prime'])
df['n']=n_range
df['p_to_bin']=df['prime'].apply(bin)
df['prime_binary']=df['p_to_bin'].str.replace("0b","")

reverse_bynary = []

for i in df['prime_binary']:
    bin_value = "0b"+ str(i[::-1])
    reverse_bynary.append(bin_value)

df['rev_bin']=reverse_bynary

df['rev_prime']=df['rev_bin'].apply((lambda x: int(x,2) ))

df['diff']=df['prime']-df['rev_prime']

print(df.info())
print(df.head(15))

plt.scatter(df['n'],df['diff'])
plt.show()

# Start coding here...