(475) 3

Part of 1995 Tournament Of Towns

Problems(1)

TOT 475 1995 Autumn S O3 12-digit number is perfect square

Source:

The first digit of a

6

-digit number is

5

. Is it true that it is always possible to write

6

more digits to the right of this number so that the resulting

12

-digit number is a perfect square?
(A Tolpygo)

number theoryPerfect Square