MathDB

10

Part of 2004 Baltic Way

Problems(1)

The most beautiful problem

Source: Baltic Way 2004

11/16/2003
Is there an infinite sequence of prime numbers p1p_1, p2p_2, …\ldots, pnp_n, pn+1p_{n+1}, …\ldots such that ∣pn+1−2pn∣=1|p_{n+1}-2p_n|=1 for each n∈Nn \in \mathbb{N}?
modular arithmeticinductionnumber theoryprime numbersnumber theory solved