Given that each of A, B and C is a positive integer greater than 1 - find the total count of positive integers between 1925 and 2025 inclusively that can be expressed in the form A^B+B^C.

For how many of the above representations do A+B+C equal a perfect square?

I have counted manually  13, might be more;  from (2,10,3) to (44,2,2).

In two triplets A+B+C=49:  

   (44,2,3)=>1944     and (38,2,9)=>1956

Posted by Ady TZIDON on 2014-12-16 15:27:10