# Where do I start?

**Number Theory**Level 3

find all the integer solutions (a,b) that satisfy the conditions:

a^b = b^a,

a and b do not equal zero,

a does not equal b.

Give your answer as the sum of all the solutions; for example, if the solutions were (a,b) = (6,7) or (7,6) then the answer would be 26.