Question 26893
{{{1^n + 2^n  + 3^n  + 4^n }}}

Whenever n is divisible by 4 the last digit of the total ends in 4. This number can not be divided by 5.

All other values of n end in 0. This is therefore divisible by 5.

Note n must be positive.
n       Total
1	10
2	30
3	100
4	354
5	1300
6	4890
7	18700
8	72354
9	282340
10	1108650
11	4373500
12	17312754
13	68711380
14	273234810
15	1088123500