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International Contests
IMO Longlists
1983 IMO Longlists
61
61
Part of
1983 IMO Longlists
Problems
(1)
Is it possible to find integers p and q ?
Source:
10/7/2010
Let
a
a
a
and
b
b
b
be integers. Is it possible to find integers
p
p
p
and
q
q
q
such that the integers
p
+
n
a
p+na
p
+
na
and
q
+
n
b
q +nb
q
+
nb
have no common prime factor no matter how the integer
n
n
n
is chosen ?
number theory proposed
number theory