Definition:Mirror Property of Primes
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Definition
Let $p_n$ denote the $n$th prime number.
Let $\map {\operatorname {rev} } {p_n}$ denote the reversal of $p_n$.
$p_n$ satisfies the mirror property if and only if:
- $(1): \quad \map {\operatorname {rev} } {p_n}$ is also a prime number
- $(2): \quad$ the product of the digits of the base $10$ representation of $\map {\operatorname {rev} } {p_n}$ equals $\map {\operatorname {rev} } n$.
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)