How many pairs of positive integers `(a, b)` are there such that `a` and `b` have no-common factor greater than `1` and `a/b +14b/a` is aa integer :

If a and b are positive integers then

Can you think of positive integers a, b such that a^(b) = b^(a) ?

The number of positive integer pairs (a, b) such that ab - 24 = 2a is

How many positive integers b have the property that log_(b)729 is a positive integer ?

How many positive integers b have the property that log_(b)729 is a positive integer ?

How many unordered pairs (a b) of positive integers a and b are there such that lcm (a, b) = 1,26,000? (Note: An unordered pair fa, b) means a, b) {b, a

If a and b are positive integers such that a^(2)-b^(4)=2009, find a+b

If a and b are positive integers such that a^(2)-b^(4)=2009, find a+b