Happy new year to all mathematics lover. I am looking for some mathematical way to say Happy new year 2021. If possible, then please show your ideas.
$$\color{red}{\binom {20}{19}} +\color{orange}{\binom {19}{16} +{\binom {16}{14}}}+ \color{green}{\binom {14}{12} +\binom {12}{7}}+ \color{blue}{\binom {7}{6}+ \binom {6}{5}}+ \color{purple}{\binom {5}{3}+\binom {3}{1}}+ \color{magenta}{\binom {2}{0}}+\color{magenta}{\binom {1}{1}}+\color{magenta}{\binom {1}{0}} =\color{red}{2021}$$
Above idea is copied from here.
A product of two consecutive primes is a four digit number $N$, written as (the string concatenation of) two consecutive natural numbers. Well, $N$ is...