141

Part of 1970 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 141 All Soviet Union MO 1970 from 11111 to 99999 in random order

Source:

5

-digit numbers from

11111

99999

are written on the cards. Those cards lies in a line in an arbitrary order. Prove that the resulting

444445

-digit number is not a power of two.

number theoryDigits5-digit