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 sum of all the natural numbers that are multiples of 3 or 5 using the inclusion-exclusion principal.
Find the sum of all the even-valued terms in the Fibonacci sequence which do not exceed 4 million.