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Baltic Way
2003 Baltic Way
16
16
Part of
2003 Baltic Way
Problems
(1)
a-b is prime and ab is a square
Source: Baltic Way 2003
11/7/2010
Find all pairs of positive integers
(
a
,
b
)
(a,b)
(
a
,
b
)
such that
a
ā
b
a-b
a
ā
b
is a prime number and
a
b
ab
ab
is a perfect square.
number theory unsolved
number theory