2 sums of floor function

Algebra Level 3

A = 2018 + 2018 3 + + 2018 2018 \large A=\left\lfloor\sqrt{2018}\right\rfloor+\left\lfloor\sqrt[3]{2018}\right\rfloor+\ldots+\left\lfloor\sqrt[2018]{2018}\right\rfloor B = log 2 2018 + log 3 2018 + + log 2018 2018 \large B=\left\lfloor\log_2 2018\right\rfloor+\left\lfloor\log_3 2018\right\rfloor+\ldots+\left\lfloor\log_{2018} 2018\right\rfloor Which is true?

A < B A<B A > B A>B A = B A=B

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