Hi,

I need to show that [tex]11^{40} + 33^{40} + 51^{40} + 97^{40}[/tex] is 4 in [tex]Z_{100}[/tex] using the totient function. The problem as i see it, is that 100 is not a prime number. i could of course go the long way [tex] (11^{2})^{20} = (21^{2})^{10} [/tex]and so forth but that's a bit tedious...

/Jones