# Alternating Even-Odd Digit Palindromic Prime

## Theorem

Let the notation $\left({abc}\right)_n$ be interpreted to mean $n$ consecutive repetitions of a string of digits $abc$ concatenated in the decimal representation of an integer.

The integer:

$\left({10987654321234567890}\right)_{42} 1$

has the following properties:

it is a palindromic prime with $841$ digits
its digits are alternately odd and even.