Find integer solutions for $m^3-n^2=2$
I have seen multiple solutions like this one.
However, these have been complicated. I tried taking different modulos but could not achieve anything. My latest attempt included this: $$m^3+1=n^2-1$$ $$(m+1)(m^2-m+1)=(n-1)(n+1)$$ But this does not help. Is there any solution that is easy. Thank you in advance.