Other examples are:

4th power:       1634, 8208, 9474

5th power:       4150, 4151, 54748, 92727, 93084, 194979

6th power:       548834

7th power:       1741725, 4210818, 9800817, 9926315, 14459929

8th power:       24678050, 24678051, 88593477

9th power:       145611208, 472335975, 534494836, 912985153

10th power:      4679307774

Here are some numbers similar to above: