Anik's remainders
Number Theory
Level
3
Anik likes division and is always eager to find remainders.
Once Anik divided \(a^x\) by \((a-1)\) to get positive remainder \(r_1\); and by \((a+1)\) to get positive remainder \(r_2\).
If Anik assumed \(a\) as a positive integer greater than 2 and \(x\) as an positive odd number greater than 1, find \(r_1+r_2\).
Try more of my original problems in this set (click here).
I made this problem as a simple generalization of this problem.
by
Nihar Mahajan