>>11134950

Suppose there's a slowest growing divergent series

[eqn]\sum_{n=0}^{\infty}a_n[/eqn], then

[eqn]\sum_{n=0}^{\infty}\frac{a_n}{2}[/eqn] grows slower and also diverges, therefore there is no slowest growing divergent series, since we can always find a slower one. However, we can find some really fucking slow ones, take [eqn]\sum_{p \ \text{prime}} \frac{1}{p}[/eqn] this series grows like [math]\ln\ln n[/math] if i recall correctly