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Soit a∈N∗a \in \mathbb{N}^*a∈N∗, trouver tous les les polynômes P∈Z[X]P \in \mathbb{Z}[X]P∈Z[X] vérifiant : P(n)∣(a+1)n−an P(n) \mid (a+1)^n-a^nP(n)∣(a+1)n−an, pour tout entier n≥1n \geq 1 n≥1 .
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