Quote:
Originally Posted by EdH
Additionally, that a^{i}+1 is a factor of s(a^{(i*n)}) (n, a positive even integer)

Please, Ed, is your proposal complete ?
Because if we take, for example, a=10, n=4 and i=3, we have :
s(10^(4*3)) = s(10^12) = 1499694822171
and
10^3+1 = 1001
And 1001 do not divide 1499694822171.