MathDB
China 2010 quiz6 Problem 2

Source:

September 14, 2010
number theoryprime numbersfactorial

Problem Statement

Prove that there exists a sequence of unbounded positive integers a1≤a2≤a3≤⋯a_1\leq a_2\leq a_3\leq\cdots, such that there exists a positive integer MM with the following property: for any integer n≥Mn\geq M, if n+1n+1 is not prime, then any prime divisor of n!+1n!+1 is greater than n+ann+a_n.
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