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Challenge 420: Sums of powers
When are these sums of powers squares or cubes?
a) How many values of n can you find so that 26 + 210 + 2n is a square number?
b) How many values of n can you find so that 33 + 36 + 39 + 3n is a cube number?
When are these sums of powers squares or cubes?
a) How many values of n can you find so that 26 + 210 + 2n is a square number?
b) How many values of n can you find so that 33 + 36 + 39 + 3n is a cube number?