161

Part of 1972 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 161 All Soviet Union MO 1972 4^{27}+4^{1000}+4^x, perfect square, max x

Source:

Find the maximal

x

such that the expression

4^{27} + 4^{1000} + 4^x

is the exact square.

Perfect Squarenumber theorymaximum