I was tired solving maths problems , then I stopped for a minute and I thought of doing something meaningless which includes my friend Trevor A (prototype) and the brilliant avatar Trevor B.So what I am going to prove where is an integer is that :
Lets assume that .
By multiplying both the sides by , the inequality sign flips which tells us that:
Lets consider another case
By multiplying both the sides by , the inequality sign remains the same which tells us that :
Let us consider one more case
But makes it impossible hence , . Hence this case does not hold true.
At last we conclude that
I hope this made you feel nice in your busy study schedule.Cheers!