An Exploding Algorithm
A nice proof problem with a possible interpretation in four-dimensional space.
A Nested Function
Can you solve a special 4th degree equation?
Find all x, y for which xʸ = yˣ
Find all powers that retain their value when you swap the base and exponent.
Tricky Algebra?
Looks difficult, but it is not!
Variations On A Clock Problem
At what time after 4 o’clock will the minute hand of a dial clock overtake the hour hand?
Cube numbers
Let n be any natural number. Prove that the numbers n+2 and n²+n+1 cannot both be cube numbers at the same time.