MathDB
Sequence

Source: Central American Olympiad 2002, problem 3

December 30, 2009

Problem Statement

For every integer a>1 a>1 an infinite list of integers is constructed L(a) L(a), as follows: a a is the first number in the list L(a) L(a). Given a number b b in L(a) L(a), the next number in the list is b\plus{}c, where c c is the largest integer that divides b b and is smaller than b b. Find all the integers a>1 a>1 such that 2002 2002 is in the list L(a) L(a).
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