Notice that, can be factored, thus it is not prime i.e. composite.Code:n^2-1 Composite
Unless, the factors are trivial, meaning that thus, is the only prime. Thus, is the only prime obtained by this function.
Here are my 3 problems:
Prove or disprove that (n^2)-1 is composite whenever n is a positive integer greater than 1Prove that (a mod m)(b mod m) mod m = ab mod m for all integers a and b whenever m is a positive integer.Prove or disprove that a mod m + b mod m = (a + b) mod m for all integers a and b whenever m is a positive integer.
Help to Any of these would be appreciated..
thanks