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2006 VTRMC
Problem 1
Problem 1
Part of
2006 VTRMC
Problems
(1)
no 1 in base 3 for n or n^2
Source: VTRMC 2006 P1
6/5/2021
Find, with proof, all positive integers
n
n
n
such that neither
n
n
n
nor
n
2
n^2
n
2
contain a
1
1
1
when written in base
3
3
3
.
number theory
Digits