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Electronics Engineer
$137$ is $(2n+1)^3+3n^2$ for $n=2$
The simplest rearrangements of the cancelling harmonic series converge to the logarithms of positive rationals.
$$ \log\left(\frac{p}{q}\right)=\sum_{i=0}^\infty \left(\sum_{j=pi+1}^{p(i+1)}\frac{1}{j}\sum_{k=qi+1}^{q(i+1)}\frac{1}{k}\right) $$
$\pi^2$ is so close to $10$ because $$\sum_{k=0}^\infty\frac{1}{((k+1)(k+2))^3}$$ is small.
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