1

Part of 2004 Bosnia and Herzegovina Junior BMO TST

Problems(1)

1/x +1/ y= 1/p diophantine

Source: 2004 Bosnia & Herzegovina JBMO TST p1

In the set of integers solve the equation

\frac{1}{x}+\frac{1}{y}=\frac{1}{p}

p

is a prime number.

Diophantine equationdiophantinenumber theory