Definition:Product Property of Primes
Jump to navigation
Jump to search
Definition
Let $p_n$ denote the $n$th prime number.
$p_n$ satisfies the product property if the product of the digits of its base $10$ representation equals $n$.
Also see
Sources
- Nov. 2015: Jessie Byrnes, Chris Spicer and Alyssa Turnquist: The Sheldon Conjecture (Math Horizons Vol. 23: pp. 12 – 15) www.jstor.org/stable/10.4169/mathhorizons.23.2.12
- Feb. 2019: Carl Pomerance and Chris Spicer: Proof of the Sheldon Conjecture (Amer. Math. Monthly Vol. 121, no. 1: pp. 1 – 10)