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In this simple paper, we exhibit a Schur partition giving rise to atriangle-free linear colouring of $K_{1697}$ in 7 colours. Thus we show thatthe Schur number $S(7) \ge 1696$ and the multicolour Ramsey number $R_{7}(3)\ge 1698$.  We also demonstrate a specific partition of the closed integer interval $[1,376]$ which, through repeated use of a specific construction, allows us toconclude that $S(k+5) \ge 376.S(k)+160$ for any positive integer $k$. Theexistence of this partition, with its specific properties, implies that$\lim_{\substack{r \rightarrow \infty}} R{_r}(3)^{1/r} > 3.273$.

An Improved Lower Bound for $S(7)$ and Some Interesting Templates