MathDB

The most beautiful problem

Source: Baltic Way 2004

November 16, 2003

modular arithmeticinductionnumber theoryprime numbersnumber theory solved

Problem Statement

Is there an infinite sequence of prime numbers

p_1

p_2

\ldots

p_n

p_{n+1}

\ldots

such that

|p_{n+1}-2p_n|=1

for each

n \in \mathbb{N}