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#!/Applications/SageMath-9-2.app/Contents/Frameworks/sage.framework/Versions/9.2/local/bin/python3.8 -python

import sage.all

import matplotlib.pyplot as plt

if __name__ == '__main__':

def J(x):

sum = 0

for i in range(1, int(sage.all.log(x) / sage.all.log(2)) + 1):

sum = sum + 1 / i * sage.all.prime_pi(x ** (1 / i))

return (sum)

print(J(100))

p = sage.all.plot(J, 1, 100)

p.show()

qfun = lambda x: J(x)

q = sage.all.plot(qfun, 1, 100)

q.show()

plt.plot([i*i for i in range(10)])

plt.show()