2024 Aime I Problems Forum . Therefore, we solve the following constrained optimization problem: By fermat's little theorem, p ∣ n p − 1 − 1, so p ∣ gcd (n p − 1 − 1, n 8 − 1) = n gcd (p − 1, 8) − 1.
The first link contains the full set of test problems. Therefore, we solve the following constrained optimization problem:
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