Divisibility Problem | PRMO 2019 | Question 8

Find the number of positive integers such that \(3 \leq n \leq 98\) and \(x^{2^{n}}+x+1\) is divisible by $ x^{2}+x+1.$

for n={3,5,...97}

where n is odd since factor of \(x^{2}+x+1\) is also factor of given expression

Then n=48.

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