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Ireland Contests
Ireland National Math Olympiad
2001 Irish Math Olympiad
1
equation
equation
Source: Ireland 2001
July 5, 2009
modular arithmetic
number theory unsolved
number theory
Problem Statement
Find all positive integer solutions
(
a
,
b
,
c
,
n
)
(a,b,c,n)
(
a
,
b
,
c
,
n
)
of the equation: 2^n\equal{}a!\plus{}b!\plus{}c!.
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