Finding square sums that are palindromic.
Investigating which primes will never divide a repunit containing 10**n digits.
Determining the first forty prime factors of a very large repunit.
Finding composite values, n, for which n−1 is divisible by the length of the smallest repunits that divide it.
Investigating minimal repunits that divide by n.
How many numbers below a googol (10**100) are not “bouncy”?
Investigating the density of “bouncy” numbers.
What is the maximum 16-digit string for a “magic” 5-gon ring?
By analysing a user’s login attempts, can you determine the secret numeric passcode?
Find the number of different lengths of wire can that can form a right angle triangle in only one way.