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- Modular equation problem 1 answer
I am having trouble solving this equation:
$17^n\equiv 1 \mod 640826899755722841329632946651705039010285107743541637238400825304943424424715705661705191669759$
for the smallest integer $n > 0$
I tried Wolfram|Alpha, but it did not help me. I realize that it would be easy to solve this equation if we knew the prime factors of the modulus. Could you help me to find a solution for this equation?