I've seen pretty much the same description at the page A theorem of number theory.
I'm having trouble understanding that theorem ; the first examples that comes to mind is a=12, b=3, b=4 so that none of the parts make sense to me.
I also don't get the proof of the first part as to me a should be bigger than b or c so that s and t should be a fraction (ie: 2/3), not an integer.
I'm really stuck there and in a rush preparing for an exam
Thank you kindly for your help