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.
Find the number of different lengths of wire can that can form a right angle triangle in only one way.
What is the first value which can be written as the sum of primes in over five thousand different ways?
Find arithmetic sequences, made of prime terms, whose four digits are permutations of each other.