MathDB
2014 Team #2: Infinite Sequence of Integers

Source:

March 2, 2014

Problem Statement

Let a1,a2,…a_1,a_2,\ldots be an infinite sequence of integers such that aia_i divides ai+1a_{i+1} for all i≥1i\geq 1, and let bib_i be the remainder when aia_i is divided by 210210. What is the maximal number of distinct terms in the sequence b1,b2,…b_1,b_2,\ldots?
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