Maths Olympiad
Exam
Show that 32008 + 42009 can be wriiten as product of two positive integers each of
which is larger than 2009182.
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Maths Olympiad Other Question
Show that there is no integer a such that a^2 - 3a - 19 is divisible by 289.
Find the sum of all 3-digit natural numbers which contain at least one odd digit
and at least one even digit.