62,083
I'm gonna write a C or Java program that does the maths game for me. It'll be SLOW, as the problem is NP-hard, but with the 4 digits it has to work with it shouldn't be so bad
Assuming the following operators are allowed: +, -, *, /, sqrt(), ^, then there will be altogether 1,458 iterations to get through, which is fine. When including paranthesis however, there will be altogether 39,442 iterations, which is still not too bad! I think I might do this tomorrow! (Keep in mind, for 5 digits this is raised to 786,432 iterations, which is now bad)