2022 SSMO Tiebreaker Round Problems
Problem 1
For all positive integers let
denote the least positive integer
such that
is a palindrome. Find the value of
Problem 2
Let . If
where
are real numbers, then the value of
can be expressed as
for relatively prime positive integers
and
. Find
.
Problem 3
Find the sum of the 5 smallest positive prime numbers such that
has no positive integer solutions for
.