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Canada Contests
Canada National Olympiad
1977 Canada National Olympiad
3
3
Part of
1977 Canada National Olympiad
Problems
(1)
Smallest natural b for which 7 + 7b + 7b^2 is a fourth power
Source: Canada National Mathematical Olympiad 1977 - Problem 3
9/29/2011
N
N
N
is an integer whose representation in base
b
b
b
is
777
777
777
. Find the smallest integer
b
b
b
for which
N
N
N
is the fourth power of an integer.
number theory proposed
number theory