(In reply to re: Last two digits
"But if I take a=3, b=1, and n=2, a^n+b^n=10, while a+b=4 and 4 does not divide 10. It is true that a-b divides a^n-b^n."
Thanks Richard, you're right, I was a little hasty there! I meant to say that (a + b) divides (a^n + b^n), for *odd* n. This does follow from the remainder theorem, and I've edited my post accordingly.
Edited on January 31, 2004, 7:59 am