## Nontrivial GCD Chasing

Round 19

#### Statement

Find the number of ordered pairs $(a,b)$ of integers satisfying:
• $1 \le a, b, \le 100$
• There exists an integer $d \ge 2$ such that $a^n + b^n +1$ is divisible by $d$ for all positive integers $n$.

Time Remaining:
0%

#### Problem Status

 Points: 1750 Solved by: 39 Success Rate 24%

### Score:

#### Friends' Standings

Rank Name A B C D E F G H