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National and Regional Contests
PEN Problems
PEN A Problems
95
95
Part of
PEN A Problems
Problems
(1)
A 95
Source:
5/25/2007
Suppose that
a
a
a
and
b
b
b
are natural numbers such that
p
=
b
4
2
a
−
b
2
a
+
b
p=\frac{b}{4}\sqrt{\frac{2a-b}{2a+b}}
p
=
4
b
2
a
+
b
2
a
−
b
is a prime number. What is the maximum possible value of
p
p
p
?
Divisibility Theory