The perfect squares from 1 through 2500 inclusive, are printed in a sequence of digits 1491625.....2500 What is the 100th digit in this sequence?
Just list them out and count to 100th one
1491625 ... 36 49 64 81 100 121 144 169 196 225 256 289 325 361 400 441 484 529 576 625 676 729 784 841 300 961 1024 1089 1156 1225 1296
1369 1444 1521 1600
1491625364964811001211441691962252562893243614004414845295766256767297848419009611024108911561225129
The 100th digit is 9, which comes from 36^2==1296
The perfect squares from 1 through 2500 inclusive, are printed in a sequence of digits 1491625.....2500 What is the 100th digit in this sequence?
By brute force I found it to be 9, You'd better check my figures though just to be sure.
Squares # in row Running Total
1 4 9 16 25 36 49 64 81 100 18 18
121 144 169 196 225 256 289 21 39
324 361 400 441 484 529 576 625 24 63
676 729 784 841 900 961 1024 1089 26 89
1156 1225 1296 12 101
