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International Contests
Tournament Of Towns
1996 Tournament Of Towns
(512) 5
(512) 5
Part of
1996 Tournament Of Towns
Problems
(1)
TOT 512 1996 Autumn J A5 500 000 multiples of A not end in 6 same digits
Source:
8/16/2024
Does there exist a
6
6
6
-digit number
A
A
A
such that none of its
500000
500 000
500000
multiples
A
A
A
,
2
A
2A
2
A
,
3
A
3A
3
A
, ...,
500000
A
500 000A
500000
A
ends in
6
6
6
identical digits?(S Tokarev)
number theory
last digits
Digit
Digits