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 $\map {\operatorname {rev} } n$.


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