In a few days we will close this year 2019 and welcome the next year 2020, in almost all the world around.
It is a common practice to wait awake the born of the new
year until the 12pm, and say cheers with our family and friends
for the new born baby-year.
Perhaps this is a good excuse for bring a puzzle about the
twelve hour integers on the face of the clocks.
This makes me use the following nice picture sent by my old
friend Alberto Hernández, a few days ago:
Accordingly our rules are:
1) We may use at the much four instances of just one of the
integers as "2", or "3" or "5" or "7" - instead the integer "9"-
2) We may only use the following four arithmetic
operators & five auxiliary symbols:
[+, -, /, * square root,
factorial, decimal point, concatenation and parentheses]
Q1. Send your solutions (one for
each one-digit-prime) using
the minimal of these allowed operators and auxiliary symbols
Q2. Is it possible to get a solution
using only four instances of one prime composed of two digits
and all (or part, or more) of the allowed operators and
auxiliary symbols, mentioned above?