integer

...integers n...? k is an integer such that n3 + k is not divisible by 4 for all integers n. What are the possible values of k?

digits of n3 (ones, tens, and hundreds)? Find the greatest integer n such that 500 < n < 999 and the last three digits of n3 (ones, tens, and hundreds) are the same as n.

is greater than or equal to 1...? Let f(n) = n3 and g(n) = 100 x n x log2 n. Find the smallest Integer N is greater than or equal to 1 such that f(N) is less than or equal to g(N) but f(N + 1) is greater than g(N+1). Show the values of N, f(N), g(N), f(N+1) and g(N+1)