I thought this class would be fun but it turned out to be not the thing for me. It's too late to drop the course so I'm stuck doing homework that I don't understand.
Any help with any of these would be appreciated.
and leave the same remainder when divided by
(and of course, as well).
(b) In any three consecutive integers, , one is always a multiple of . And and are primes, and neither nor is a multiple of
And, of course, is even whenever is a prime .
(c) Consider the remainders when (x-1) and (x+1) are divided by 3, and then use the results of (a).