Finding the number of blue discs for which there is 50% chance of taking two blue.
Finding Fibonacci numbers for which the first and last nine digits are pandigital.
Investigating the density of “bouncy” numbers.
How many numbers below a googol (10**100) are not “bouncy”?
Investigating the numbers which are equal to sum of their digits raised to some power.
Finding the maximum remainder when (a − 1)^n + (a + 1)^n is divided by a^2.
Investigate the game of chance involving coloured discs.
Determining the kth element of the sorted radical function.
Finding square sums that are palindromic.
Investigating minimal repunits that divide by n.