MathDB
Problems
Contests
National and Regional Contests
Israel Contests
Israel National Olympiad
1998 Israel National Olympiad
2
2
Part of
1998 Israel National Olympiad
Problems
(1)
multiple of 2^{1998} with digits only 1 and 2
Source: Israel Joseph Gillis Mathematical Olympiad 1998 p2
2/16/2020
Show that there is a multiple of
2
1998
2^{1998}
2
1998
whose decimal representation consists only of the digits
1
1
1
and
2
2
2
.
decimal representation
Digits
number theory