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0 $begingroup$ In this hard question, I tried to use mathematical induction but couldn't as it is a hard problem. I have been trying for a week now so I came to stack exchange with this question. Any help would be nice. Also the problems goes on and asks to prove for $2(n^2+1)-n$ elementary-number-theory share | cite | improve this question edited Jan 5 at 8:19 user587054 asked Jan 5 at 7:36 user587054 user587054 465 11 ...