Let a sequence of integers $I_1,I_2,I_3,\mathrm{......}$ be defined by  $I_1=1$ and$I_{n+1}=1+I_1.I_2.I_3\mathrm{....}{I}_n\forall n\ge 1$   . If  $H_n=\sum _{k=1}^n\frac{1}{I_k}$ and  $P_n=\prod _{k=1}^n\frac{1}{I_k}$ then the value of  $H_{2023}+P_{2023}$ is