Scatter plot of the legs (a, b) of the Pythagorean triples.

import matplotlib.pyplot as plt
x=[]
y=[]
n=2 # power
pmax=10000 # number of points
for a in range(2,pmax):
    for b in range(2,pmax):
        c = (a**n + b**n)**(1/n)
        if( c - int(c) == 0 ):
            x.append(a)
            y.append(b)
            print("a=",a," b=",b," c=",int(c))

fig1, ax = plt.subplots()            
fig1.set_size_inches(18.5, 10.5)
ax.set_box_aspect(1)            
plt.scatter(x,y,s=1)   
plt.savefig('ex302.png', dpi=72)
plt.show()

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