An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Choose any three by three square of dates on a calendar page...
Can you create a Latin Square from multiples of a six digit number?
This is the only solution of the equation for which x and y are whole numbers. Another way of looking at this is to say that 26 is the only whole number "sandwiched" between a perfect square and a perfect cube. This was proved by the French mathematician, Pierre de Fermat, in the 17th Century.
This problem is taken from the UKMT Mathematical Challenges.