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Saudi Arabia Contests
Saudi Arabia Pre-TST + Training Tests
2014 Saudi Arabia Pre-TST
3.4
3.4
Part of
2014 Saudi Arabia Pre-TST
Problems
(1)
last digits of n^3 are ...201320132013.
Source: 2014 Saudi Arabia Pre-TST 3.4
9/13/2020
Prove that there exists a positive integer
n
n
n
such that the last digits of
n
3
n^3
n
3
are
.
.
.
201320132013
...201320132013
...201320132013
.
number theory
Power
last digits