digital communications - Deriving SER & BER for 4QAM, 16QAM and 32QAM

Required to find symbol error rate vs $\dfrac{E_b}{N_0}$ for 4QAM, 16QAM & 32QAM. Thought that SER & BER are the same but did my research to find that BER is $\dfrac{1}{\log_2(M)}$ of SER...(could you please confirm this?)

Also found SER for:

4QAM to be: $\text{erfc}\sqrt{\dfrac{E_b}{2N_0}}$

and that of

16QAM to be: $\dfrac{3}{2} \text{erfc}\sqrt{\dfrac{E_b}{10N_0}}$

Are these values correct? Still have problems to find SER for 32QAM...

Hope you can help.