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IMO Longlists
1972 IMO Longlists
34
34
Part of
1972 IMO Longlists
Problems
(1)
Prove ax^2+by^2=pz+c has integer solution for p prime
Source:
12/6/2010
If
p
p
p
is a prime number greater than
2
2
2
and
a
,
b
,
c
a, b, c
a
,
b
,
c
integers not divisible by
p
p
p
, prove that the equation
a
x
2
+
b
y
2
=
p
z
+
c
ax^2 + by^2 = pz + c
a
x
2
+
b
y
2
=
p
z
+
c
has an integer solution.
number theory unsolved
number theory