Maths Picture Quiz

Maths Picture Quiz
Usually i provide simple quizzes,however this can prove a tough nut

what is this function? the theorem the ancient school and the maths scholar on the image for animation
what does it depict? the thoery the formula correct?

1.sum of reciprocals of prime numbers
2.Four color theorem(no two colors intersect)
3.School of Athens,Euclid
4.Sieve of Eratosthenes, formula(or algorithm) to get prime number's within a specified range
5. theory of exhaustion(to find the value of pie{22/7})

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