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$A=\sum_{d|1729!}\frac{\mu^2(d)}{\phi(d)}, \hspace {15 mm} B=\frac{1729!}{\phi(1729!)}$

Find the relationship between $A$ and $B$.

Notations

$\mu(d)$ denotes the Möbius function.

$\phi(d)$ denotes the Euler's totient function.

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