MathDB
15 Prime Numbers in Arithmetic Progression

Source: 1990 IrMO Paper 2 Problem 2

September 30, 2017
number theoryprime numbersarithmetic sequence

Problem Statement

Suppose that p1<p2<⋯<p15p_1<p_2<\dots <p_{15} are prime numbers in arithmetic progression, with common difference dd. Prove that dd is divisible by 2,3,5,7,112,3,5,7,11 and 1313.
Back to ProblemsView on AoPS