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Algebra Level 3

Suppose that m m and n n are integers with 1 ≤ m ≤ 49 1 \le m \le 49 and n ≥ 0 n \ge 0 such that m ∣ n n + 1 + 1 m | { n }^{ n+1 } + 1 . What is the number of possible values of m m ?


The answer is 29.

Priyanshu Mishra by Priyanshu Mishra , 20, India

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