We know that the infinite series ${\displaystyle \underset{i=1}{\overset{}{}}}\frac{1}{i^6}$ converges to $\frac{{}^6}{945}.$ Write a computer code to find the smallest $n$

such that

$|\frac{1}{1^6}+\frac{1}{2^6}+\frac{1}{3^6}+$cdots$+\frac{1}{n^6}-\frac{{}^6}{945}|$ TOL

where TOL is a tiny positive number $($the tolerance or the accuracy$).$