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2012 France Team Selection Test
3
(Very) well-known equation by now
(Very) well-known equation by now
Source: French TST 2012
August 2, 2012
modular arithmetic
number theory
Diophantine equation
Problem Statement
Let
p
p
p
be a prime number. Find all positive integers
a
,
b
,
c
≥
1
a,b,c\ge 1
a
,
b
,
c
≥
1
such that:
a
p
+
b
p
=
p
c
.
a^p+b^p=p^c.
a
p
+
b
p
=
p
c
.
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