Number Theory Problem by Ashu Dablo
Number Theory
Level
5
\(\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{580909190400000}\) has \(n\) ordered pairs of positive integral solutions .
Find \(n\) \(\mod (2\times3\times5\times7)\)
Note: This problem can be solved with a little patience and pencil and paper and so, please refrain from using computational aids.
by
Ashu Dablo