In the line of
1233 = 12² + 33²
990100 = 990² + 100²
can you find an eight digit number with the same property? Even longer numbers?
By exaustive search the only only 4, 6, and 8 digits numbers are
12, 33
88, 33
990, 100
9412, 2353
I would have searched 10 digit numbers, except exceeds the size of a 32 bit integer, and I'm too lazy to program multi-word arithmetic. clutes