INMO - 2012

Let \(p_1<p_2<p_3<p_4\) & \(q_1<q_2<q_3<q_4\) be two sets of prime numbers such that \(p_4-p_1=8\) & \(q_4-q_1=8\).

Suppose \(p_1>5\) & \(q_1>5\), then \(p_1-q_1\) is divisible by

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