2007 iTest Problems
Problem 1
A twin prime pair is a set of two primes such that
is
greater than
. What is the arithmetic mean of the two primes in the smallest twin prime pair?
Problem 2
Find if
and
satisfy
and
.
Problem 3
An abundant number is a natural number that's proper divisors sum is greater than the number. Which one of the following natural numbers is an abundant number?