Find the number of ordered pairs of positive integers (x, y) that satisfy the equation (1/x) +(1/y)= 1/2004.
10753
Natural number solutions to $\frac{xy}{x+y}=n$ (equivalent to $\frac 1x+\frac 1y=\frac 1n$)
142900
Find all positive integers a,b,c to the equation a!b!= a!+b!+c!
72857
Find the number of integral solutions of $2x + y + z = 20$?
106896
Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?
113386
Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$
126820
How many positive integer solutions are there to the equality $x_1+x_2+...+x_r= n$?
117392
Does $x^2 - y^2 = 12345678$ (x,y are integers) have any solutions?
1001
Number of integer solutions of $x^2 + y^2 = k$
144863
Finding integer solutions to $y^2=x^3-2$
73575
Number of pairs of strings satisfying the given condition
150152
If $|x -4 | + |y - 4| =4$ then how many integers value the sets (x,y) have?
35066
Nature and number of solutions to $xy=x+y$
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
41364
How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?
134132
How to calculate the integer part of the value of the following equation?
95494
Number of solutions of an arithmetic function's equation
118744
Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.