MathDB
a,a + d, a+ 2d are all prime numbers larger than 3, then d is multiple of 6

Source: Singapore Senior Math Olympiad 2006 2nd Round p1 SMO

March 25, 2020
mutlipledividesdivisibleprimesnumber theory

Problem Statement

Let a,da, d be integers such that a,a+d,a+2da,a + d, a+ 2d are all prime numbers larger than 33. Prove that dd is a multiple of 66.
Back to ProblemsView on AoPS