Finding composite values, n, for which nā1 is divisible by the length of the smallest repunits that divide it.
Determining the first forty prime factors of a very large repunit.
Investigating which primes will never divide a repunit containing 10**n digits.
Count how many numbers below a googol (10**100) are not “bouncy”
Investigating the density of “bouncy” numbers.
Determining the number of solutions of the equation x2 ā y2 ā z2 = n.
Find Fibonacci numbers for which the first and last nine digits are pandigital.
Investigate the game of chance involving colored discs.
Find the largest palindrome made from the product of two 3-digit numbers.
Find the smallest number divisible by each of the numbers 1 to 20.