Question 127
Does there exist an infinite sequence $p_1, p_2, p_3, \dots$ of prime numbers such that for any positive integer $n$ the following condition holds
$$
|p_{n+1} - 2p_n| = 1?
$$
$$
|p_{n+1} - 2p_n| = 1?
$$
MathNet 2022-part-04 — 197 problems (EN–VI) Question 127
Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)