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The Logarithmic Integral li(x)

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Oct 3, 2023
14:38

Here we have the Logarithmic Integral. We integrate from 2 to x for the reciprocal of ln(t). We choose 2 to x as it is key in showing the Prime Number Theorem. Hence this is video number 3 in the Prime Number Theorem series. Integration by Parts is the way shown and we can see even after integration by parts thrice we are in a never ending spiral. Hence li(x) is a Non-Elementary Integral and has no solution by traditional methods. The Prime Counting Function part 2 #primenumbers #primes #primenumber #logarithm #logarithmicfunction #logarithmic #integrationbyparts #logarithmic_differentiation #logarithmicfunctions #sumchief #somesums

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The Logarithmic Integral li(x) | NatokHD