n | 2n | Concatenation of the powered numbers | Divisibility checked |
0 | 20=1 | 1 | 1∣∣1 |
1 | 21=2 | 12 | 2∣∣12 |
2 | 22=4 | 124 | 4∣∣124 |
3 | 23=8 | 1248 | 8∣∣1248 |
4 | 24=16 | 124816 | 16∣∣124816 |
As we get greater and greater numbers in column 3 of the table by concatenation (i.e. 12481632, 1248163264, ...) for n>4, will the divisibility in the last column still hold?